Solve for x
x=40
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-5x=4\left(x-90\right)
Variable x cannot be equal to 90 since division by zero is not defined. Multiply both sides of the equation by 10\left(x-90\right), the least common multiple of 180-2x,5.
-5x=4x-360
Use the distributive property to multiply 4 by x-90.
-5x-4x=-360
Subtract 4x from both sides.
-9x=-360
Combine -5x and -4x to get -9x.
x=\frac{-360}{-9}
Divide both sides by -9.
x=40
Divide -360 by -9 to get 40.
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