What is the correct solution to 1/2 (x+18) = 4 (2x-6) - 9x

x=-22

Step-by-step explanation:

1/2 (x+18) = 4 (2x-6) - 9x

Distribute the 4

1/2 (x+18) = 4 (2x) - 4 (6) - 9x

1/2 (x+18) = 8x-24-9x

Combine like terms

1/2 (x+18) = -x-24

Multiply each side by 2

2*1/2 (x+18) = 2 (-x-24)

Distribute

x+18 = - 2x-48

Add 2x to each side

x+2x+18 = - 2x+2x-48

3x+18 = - 48

Subtract 18 from each side

3x+18-18 = - 48-18

3x = - 66

Divide by 3

3x/3 = - 66/3

x = - 22