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