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45x=60\left(2-x\right)
Multiply 2 and 1 to get 2.
45x=120-60x
Use the distributive property to multiply 60 by 2-x.
45x+60x=120
Add 60x to both sides.
105x=120
Combine 45x and 60x to get 105x.
x=\frac{120}{105}
Divide both sides by 105.
x=\frac{8}{7}
Reduce the fraction \frac{120}{105} to lowest terms by extracting and canceling out 15.