Solve for X in 24-8x=-2x: Linear Equation Solution

Question

Solve for X:

248x=2x 24-8x=-2x

Video Solution

Solution Steps

00:00 Solve
00:03 We want to isolate the unknown X
00:07 Let's arrange the equation so that one side has only the unknown X
00:24 Let's simplify what we can
00:31 Let's isolate the unknown X and calculate
00:43 And this is the solution to the question

Step-by-Step Solution

To solve the equation 248x=2x 24 - 8x = -2x , we need to isolate x x . Follow these steps:

  • Step 1: Move all terms involving x x to one side of the equation. Add 8x 8x to both sides to get:
    24=8x2x 24 = 8x - 2x
  • Step 2: Simplify the equation by combining like terms on the right:
    24=6x 24 = 6x
  • Step 3: Solve for x x by dividing both sides by 6:
    x=246 x = \frac{24}{6}
  • Step 4: Simplify the result:
    x=4 x = 4

Therefore, the solution to the problem is x=4 \mathbf{x = 4} .

Answer

4