Question

How do you solve for x: `x-12=-8(x- 3)`?

Answer 1

`x = 4`

Explanation:

`x - 12 = -8(x - 3)`

Use the Distributive Property:
`x - 12 = -8(x - 3)`
`x - 12 = -8x + 24`

Use the Additive Inverse:
`x - 12 = -8x + 24`
`9x - 12 = 24`
`9x = 36`

Use the Multiplicative Inverse:
`9x = 36`
`x = 4`