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x\times 360=\left(x+60\right)\times 180
Variable x cannot be equal to any of the values -60,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+60\right), the least common multiple of x+60,x.
x\times 360=180x+10800
Use the distributive property to multiply x+60 by 180.
x\times 360-180x=10800
Subtract 180x from both sides.
180x=10800
Combine x\times 360 and -180x to get 180x.
x=\frac{10800}{180}
Divide both sides by 180.
x=60
Divide 10800 by 180 to get 60.