Solve for X in the Linear Equation: 5x + 6 = 56 for Accurate Results

Linear Equations with Constant Terms

5x+6=56 5x+6=56

How much is X X worth?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:02 We will subtract 6 from both sides to isolate the unknown
00:31 We will divide by 5 to find the value of one unknown

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

5x+6=56 5x+6=56

How much is X X worth?

2

Step-by-step solution

To solve the equation 5x+6=56 5x + 6 = 56 , we will follow these steps:

  • Step 1: Subtract 6 from both sides of the equation to eliminate the constant term on the left-hand side.
  • Step 2: Simplify the resulting equation.
  • Step 3: Divide both sides by 5 to isolate x x .

Now, perform each step:

Step 1: Subtract 6 from both sides:
5x+66=566 5x + 6 - 6 = 56 - 6

Step 2: Simplify both sides:
5x=50 5x = 50

Step 3: Divide both sides by 5 to solve for x x :
x=505 x = \frac{50}{5}

Step 4: Simplify the division:

x=10 x = 10

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

3

Final Answer

10 10

Key Points to Remember

Essential concepts to master this topic
  • Rule: Isolate the variable by performing inverse operations on both sides
  • Technique: Subtract 6 from both sides: 5x + 6 - 6 = 56 - 6
  • Check: Substitute back: 5(10) + 6 = 50 + 6 = 56 ✓

Common Mistakes

Avoid these frequent errors
  • Dividing by the coefficient before removing the constant term
    Don't divide 5x + 6 = 56 by 5 to get x + 6/5 = 56/5! This creates messy fractions and makes the problem harder. Always subtract the constant term first, then divide by the coefficient.

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 6 from both sides instead of just moving it?

+

When you subtract 6 from both sides, you're maintaining the balance of the equation. Think of it like a scale - whatever you do to one side, you must do to the other to keep it balanced!

What if I accidentally add 6 instead of subtract?

+

Adding 6 would give you 5x+12=62 5x + 12 = 62 , making the problem harder! Remember: to eliminate a positive 6, you must subtract 6 from both sides.

Can I divide by 5 first instead of subtracting 6?

+

You could, but it creates fractions: x+65=565 x + \frac{6}{5} = \frac{56}{5} . It's much easier to subtract the constant first, then divide by the coefficient.

How do I check if x = 10 is correct?

+

Substitute 10 for x in the original equation: 5(10)+6=50+6=56 5(10) + 6 = 50 + 6 = 56 . Since this equals 56, your answer is correct!

What does 'isolate the variable' mean?

+

Isolating the variable means getting x by itself on one side of the equation. You do this by undoing all the operations around x using inverse operations.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Linear Equations (One Variable) questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations