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x\times 12=15\left(18-x\right)
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 15x, the least common multiple of 15,x.
x\times 12=270-15x
Use the distributive property to multiply 15 by 18-x.
x\times 12+15x=270
Add 15x to both sides.
27x=270
Combine x\times 12 and 15x to get 27x.
x=\frac{270}{27}
Divide both sides by 27.
x=10
Divide 270 by 27 to get 10.