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360=20x-12x+24
Use the distributive property to multiply -12 by x-2.
360=8x+24
Combine 20x and -12x to get 8x.
8x+24=360
Swap sides so that all variable terms are on the left hand side.
8x=360-24
Subtract 24 from both sides.
8x=336
Subtract 24 from 360 to get 336.
x=\frac{336}{8}
Divide both sides by 8.
x=42
Divide 336 by 8 to get 42.