Solve for x
x=80
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2\left(180-x\right)+20\left(90-x\right)=5x
Multiply both sides of the equation by 10, the least common multiple of 5,2.
360-2x+20\left(90-x\right)=5x
Use the distributive property to multiply 2 by 180-x.
360-2x+1800-20x=5x
Use the distributive property to multiply 20 by 90-x.
2160-2x-20x=5x
Add 360 and 1800 to get 2160.
2160-22x=5x
Combine -2x and -20x to get -22x.
2160-22x-5x=0
Subtract 5x from both sides.
2160-27x=0
Combine -22x and -5x to get -27x.
-27x=-2160
Subtract 2160 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-2160}{-27}
Divide both sides by -27.
x=80
Divide -2160 by -27 to get 80.
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