Solve for X in the Equation: 2 + x - 5 = 4 - 3

Linear Equations with Term Simplification

Solve for X:

2+x5=43 2 + x - 5 = 4 - 3

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1

Understand the problem

Solve for X:

2+x5=43 2 + x - 5 = 4 - 3

2

Step-by-step solution

To solve2+x5=43 2 + x - 5 = 4 - 3 , we first simplify both sides:

Left side:
25+x=3+x 2 - 5 + x = -3 + x

Right side:
43=1 4 - 3 = 1

Now the equation is 3+x=1 -3 + x = 1 .

Add 3 to both sides:
x=1+3 x = 1 + 3

So,x=4 x = 4 .

3

Final Answer

4

Key Points to Remember

Essential concepts to master this topic
  • Rule: Combine like terms on each side before isolating variable
  • Technique: Group constants: 2 - 5 = -3, then solve -3 + x = 1
  • Check: Substitute x = 4: 2 + 4 - 5 = 1 and 4 - 3 = 1 ✓

Common Mistakes

Avoid these frequent errors
  • Solving without simplifying terms first
    Don't try to isolate x from 2+x5=43 2 + x - 5 = 4 - 3 without combining terms = messy algebra and errors! This leads to confusion with multiple operations. Always simplify both sides first to get 3+x=1 -3 + x = 1 .

Practice Quiz

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\( x+7=14 \)

\( x=\text{?} \)

FAQ

Everything you need to know about this question

Why do I need to simplify both sides first?

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Simplifying makes the equation much easier to solve! Instead of juggling multiple numbers, you get a clean equation like 3+x=1 -3 + x = 1 where the next step is obvious.

What if I get confused combining the terms?

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Take it one side at a time! Left side: 25=3 2 - 5 = -3 , so you have 3+x -3 + x . Right side: 43=1 4 - 3 = 1 . Now solve 3+x=1 -3 + x = 1 .

Can I move terms across the equals sign instead?

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You can, but it's more work! You'd have x=432+5 x = 4 - 3 - 2 + 5 , which is harder to calculate than our method. Simplifying first is usually faster.

What if my constants don't combine to nice numbers?

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That's okay! Even if you get decimals or fractions, the same process works. Always simplify first, then solve - it's the most reliable approach.

How do I know which terms to combine?

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Combine like terms only! Constants (numbers) go together, and terms with the same variable go together. In this problem, 2 and -5 are both constants, so they combine.

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