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100\times 15=\left(x+15\right)\times 6
Variable x cannot be equal to -15 since division by zero is not defined. Multiply both sides of the equation by 100\left(x+15\right), the least common multiple of x+15,100.
1500=\left(x+15\right)\times 6
Multiply 100 and 15 to get 1500.
1500=6x+90
Use the distributive property to multiply x+15 by 6.
6x+90=1500
Swap sides so that all variable terms are on the left hand side.
6x=1500-90
Subtract 90 from both sides.
6x=1410
Subtract 90 from 1500 to get 1410.
x=\frac{1410}{6}
Divide both sides by 6.
x=235
Divide 1410 by 6 to get 235.