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12x=90+0.5x
Multiply both sides of the equation by 2.
12x-0.5x=90
Subtract 0.5x from both sides.
11.5x=90
Combine 12x and -0.5x to get 11.5x.
x=\frac{90}{11.5}
Divide both sides by 11.5.
x=\frac{900}{115}
Expand \frac{90}{11.5} by multiplying both numerator and the denominator by 10.
x=\frac{180}{23}
Reduce the fraction \frac{900}{115} to lowest terms by extracting and canceling out 5.