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x\times 312=\left(x+27\right)\times 150
Variable x cannot be equal to any of the values -27,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+27\right), the least common multiple of x+27,x.
x\times 312=150x+4050
Use the distributive property to multiply x+27 by 150.
x\times 312-150x=4050
Subtract 150x from both sides.
162x=4050
Combine x\times 312 and -150x to get 162x.
x=\frac{4050}{162}
Divide both sides by 162.
x=25
Divide 4050 by 162 to get 25.