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4x=2\times 90+90
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of x,2x.
4x=180+90
Multiply 2 and 90 to get 180.
4x=270
Add 180 and 90 to get 270.
x=\frac{270}{4}
Divide both sides by 4.
x=\frac{135}{2}
Reduce the fraction \frac{270}{4} to lowest terms by extracting and canceling out 2.