Solve for X in Simple Equation: 14x + 3 = 17

Q: Why do I subtract 3 from both sides instead of just moving it?

You're actually doing the same thing! When we say 'move 3 to the other side', we're really subtracting 3 from both sides to keep the equation balanced. This is the proper mathematical way to show your work.

Q: What if I accidentally add 3 instead of subtract?

You'd get $ 14x + 6 = 20 $, leading to $ x = \frac{20}{14} $. Always think: what operation undoes +3? Subtraction!

Q: Can I divide by 14 first before subtracting 3?

Not recommended! You'd get messy fractions like $ x + \frac{3}{14} = \frac{17}{14} $. It's much easier to eliminate whole number constants first, then divide.

Q: How do I remember the order of operations for solving?

Think PEMDAS in reverse! Since addition/subtraction come after multiplication/division in PEMDAS, we undo them first when solving equations.

Q: What if my final answer doesn't look right?

Always substitute back into the original equation! If $ 14(1) + 3 = 17 $, then your answer is correct. Trust the math, not your gut feeling!

Linear Equations with Integer Coefficients

$14x+3=17$

$x=\text{?}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 Let's solve this problem together.

00:09 First, we need to isolate the unknown, X.

00:21 Next, collect the like terms.

00:32 Now, divide to get just the unknown, X.

00:37 Let's simplify everything we can.

00:43 And that's how we find the solution to the question!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$14x+3=17$

$x=\text{?}$

Step-by-step solution

To solve the equation $14x + 3 = 17$ , we need to find the value of $x$ that satisfies the equation.

Step 1: Isolate the term containing $x$ by subtracting 3 from both sides of the equation:

$14x + 3 - 3 = 17 - 3$
This simplifies to:
$14x = 14$

Step 2: Solve for $x$ by dividing both sides by 14:

$x = \frac{14}{14}$
Which simplifies to:
$x = 1$

Therefore, the solution to the equation $14x + 3 = 17$ is $x = 1$ .

Final Answer

$x=1$

Key Points to Remember

Essential concepts to master this topic

Isolation: Remove constants by using inverse operations on both sides
Technique: Subtract 3 from both sides: 14x + 3 - 3 = 17 - 3
Check: Substitute x = 1 back: 14(1) + 3 = 17 ✓

Common Mistakes

Avoid these frequent errors

Dividing before isolating the variable term
Don't divide 14x + 3 = 17 by 14 first = (x + 3/14) = 17/14! This creates messy fractions and doesn't isolate x properly. Always subtract or add constants first to isolate the variable term, then divide.

Practice Quiz

Test your knowledge with interactive questions

$$ x+7=14 $$

$x=\text{?}$

FAQ

Everything you need to know about this question

Why do I subtract 3 from both sides instead of just moving it?

You're actually doing the same thing! When we say 'move 3 to the other side', we're really subtracting 3 from both sides to keep the equation balanced. This is the proper mathematical way to show your work.

What if I accidentally add 3 instead of subtract?

You'd get $14x + 6 = 20$ , leading to $x = \frac{20}{14}$ . Always think: what operation undoes +3? Subtraction!

Can I divide by 14 first before subtracting 3?

Not recommended! You'd get messy fractions like $x + \frac{3}{14} = \frac{17}{14}$ . It's much easier to eliminate whole number constants first, then divide.

How do I remember the order of operations for solving?

Think PEMDAS in reverse! Since addition/subtraction come after multiplication/division in PEMDAS, we undo them first when solving equations.

What if my final answer doesn't look right?

Always substitute back into the original equation! If $14(1) + 3 = 17$ , then your answer is correct. Trust the math, not your gut feeling!

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Solve for X in Simple Equation: 14x + 3 = 17

Linear Equations with Integer Coefficients

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

Why do I subtract 3 from both sides instead of just moving it?

What if I accidentally add 3 instead of subtract?

Can I divide by 14 first before subtracting 3?

How do I remember the order of operations for solving?

What if my final answer doesn't look right?

🌟 Unlock Your Math Potential

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