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

Question

Solve for X:

3=5x 3=5-x

Video Solution

Solution Steps

00:00 Find X
00:03 Let's arrange the equation so that only the unknown X is on one side
00:12 Collect like terms
00:18 Convert from negative to positive
00:26 Negative divided by negative always equals positive
00:30 And this is the solution to the question

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 .

Answer

2