Solve for X: Finding the Value in x + 4 - 2 = 6 + 1

Linear Equations with Order of Operations

Solve for X:

x+42=6+1 x + 4 - 2 = 6 + 1

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1

Understand the problem

Solve for X:

x+42=6+1 x + 4 - 2 = 6 + 1

2

Step-by-step solution

First, simplify both sides of the equation:

Left side: x+42=x+2 x + 4 - 2 = x + 2

Right side: 6+1=7 6 + 1 = 7

Now the equation is: x+2=7 x + 2 = 7

Subtract 2 from both sides to isolatex x :

x+22=72 x + 2 - 2 = 7 - 2

Simplifying gives:

x=5 x = 5

3

Final Answer

5

Key Points to Remember

Essential concepts to master this topic
  • Simplify: Always combine like terms on each side first
  • Technique: Left side: 4-2=2, Right side: 6+1=7, then solve x+2=7
  • Check: Substitute x=5 back: 5+4-2=7 and 6+1=7 ✓

Common Mistakes

Avoid these frequent errors
  • Jumping straight to isolating x without simplifying first
    Don't try to solve x+4-2=6+1 without combining terms first = confusing work and wrong answers! This creates unnecessary complexity and increases error chances. Always simplify both sides completely before isolating the variable.

Practice Quiz

Test your knowledge with interactive questions

\( x+7=14 \)

\( x=\text{?} \)

FAQ

Everything you need to know about this question

Why can't I just move the numbers around right away?

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You need to follow the order of operations first! Simplify each side completely (4-2=2 and 6+1=7) before using inverse operations to solve for x.

What if I forget to simplify one side?

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You'll make the problem much harder than it needs to be! Always simplify both sides as your first step - it makes the rest of the solving process much cleaner.

How do I know which operations to do first?

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Follow PEMDAS! In this problem, you only have addition and subtraction, so work left to right: x+4-2 becomes x+2.

Can I add and subtract in any order?

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No! Always work left to right for addition and subtraction. So x+4-2 means do the +4 first, then -2, giving you x+2.

What's the easiest way to check my work?

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Substitute your answer back into the original equation. Replace x with 5: does 5+4-2 equal 6+1? Yes, both equal 7! ✓

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