Question

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

Answer 1

Answer:

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