Solve for x
x=12
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30x+\left(108-88\right)\left(40-x\right)=920
Subtract 108 from 138 to get 30.
30x+20\left(40-x\right)=920
Subtract 88 from 108 to get 20.
30x+800-20x=920
Use the distributive property to multiply 20 by 40-x.
10x+800=920
Combine 30x and -20x to get 10x.
10x=920-800
Subtract 800 from both sides.
10x=120
Subtract 800 from 920 to get 120.
x=\frac{120}{10}
Divide both sides by 10.
x=12
Divide 120 by 10 to get 12.
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