Solve the Linear Equation: Finding X in 3 = 5 - X

Solve for X:

3=5x 3=5-x

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Step-by-step video solution

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00:04 Let's find the value of X.
00:07 We'll rearrange the equation so X is on one side.
00:16 Next, gather like terms together.
00:22 Change negatives to positives.
00:30 Remember: a negative divided by a negative is positive.
00:35 And that gives us the solution. Great job!

Step-by-step written solution

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1

Understand the problem

Solve for X:

3=5x 3=5-x

2

Step-by-step solution

To solve the equation 3=5x 3 = 5 - x , we need to isolate x x . We'll perform a sequence of simple algebraic manipulations:

  • Step 1: Add x x to both sides of the equation to move x x to the left side. This gives us:
  • 3+x=5 3 + x = 5

  • Step 2: Subtract 3 from both sides of the equation to solve for x x :
  • x=53 x = 5 - 3

  • Step 3: Simplify the right side:
  • x=2 x = 2

Therefore, the solution to the equation is x=2 x = 2 .

3

Final Answer

2

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\( x+x=8 \)

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