Question

What equation makes this true -3(x-4)+x =2x-12

Answer 1

`x = 6`

Explanation:

Step 1: Distribute

`-3(x - 4) + x = 2x - 12`

`(-3 * x) + (-3 * -4) + x = 2x - 12`

`(-3x) + (12) + x = 2x - 12`

Step 2: Combine like terms

`(-3x) + (12) + x = 2x - 12`

`(-3x + x) + 12 = 2x - 12`

`(-2x) + 12 = 2x - 12`

Step 3: Add 12 to both sides

`(-2x) + 12 + 12 = 2x - 12 + 12`

`(-2x) + 24 = 2x`

Step 4: Add 2x to both sides

`(-2x + 2x) + 24 = 2x + 2x`

`24 = 4x`

Step 5: Divide both sides by 4

`(24 / 4) = (4x / 4)`

`(6) = x`

Answer:
`x = 6`