Solve the Linear Equation: Finding X in 14x-6=134

Q: Why do I add 6 to both sides instead of subtracting?

Since we have $ 14x - 6 = 134 $, we need to eliminate the -6. The opposite of subtracting 6 is adding 6, so we add 6 to both sides to cancel it out.

Q: What if I get a different answer when I check?

If substituting your answer doesn't work, go back and check each step. Common errors include sign mistakes when adding/subtracting or calculation errors when dividing.

Q: How do I know which operation to do first?

Follow the reverse order of operations! Since we normally multiply before adding/subtracting, when solving we add/subtract first, then divide/multiply.

Linear Equations with Two-Step Solutions

$14x-6=134$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's solve the equation step by step.

00:07 Our goal is to find the value of X.

00:10 First, we'll move things around so only X is on one side.

00:16 Great! We've isolated X.

00:22 And that's how we find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$14x-6=134$

Step-by-step solution

To solve the equation $14x - 6 = 134$ , follow these steps:

Step 1: Isolate the term involving $x$ . We do this by adding 6 to both sides of the equation to eliminate the constant term:

$14x - 6 + 6 = 134 + 6$

This simplifies to:

$14x = 140$

Step 2: Solve for $x$ by dividing both sides by 14 (the coefficient of $x$ ):

$\frac{14x}{14} = \frac{140}{14}$

This gives us:

$x = 10$

Therefore, the solution to the problem is $x = 10$ .

Final Answer

$x=10$

Key Points to Remember

Essential concepts to master this topic

Rule: Isolate the variable term first, then divide by coefficient
Technique: Add 6 to both sides: 14x - 6 + 6 = 134 + 6
Check: Substitute x = 10: 14(10) - 6 = 140 - 6 = 134 ✓

Common Mistakes

Avoid these frequent errors

Dividing by coefficient before isolating the variable term
Don't divide 14x - 6 = 134 by 14 to get x - 6/14 = 134/14! This creates messy fractions and complicates the problem unnecessarily. Always add or subtract constants first to isolate the variable term, then divide by the coefficient.

Practice Quiz

Test your knowledge with interactive questions

Solve for X:

$$ 5x=25 $$

FAQ

Everything you need to know about this question

Why do I add 6 to both sides instead of subtracting?

Since we have $14x - 6 = 134$ , we need to eliminate the -6. The opposite of subtracting 6 is adding 6, so we add 6 to both sides to cancel it out.

Can I subtract 14x from both sides first?

Technically yes, but it makes the problem harder! You'd get $-6 = 134 - 14x$ , which means more steps. It's easier to isolate the variable term first.

What if I get a different answer when I check?

If substituting your answer doesn't work, go back and check each step. Common errors include sign mistakes when adding/subtracting or calculation errors when dividing.

How do I know which operation to do first?

Follow the reverse order of operations! Since we normally multiply before adding/subtracting, when solving we add/subtract first, then divide/multiply.

Is there a shortcut to solve this faster?

With practice, you can do some steps mentally, but always write out your work clearly. Rushing leads to careless mistakes that cost more time than going step-by-step!

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