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15x=\left(x+35\right)\times 5
Variable x cannot be equal to -35 since division by zero is not defined. Multiply both sides of the equation by 15\left(x+35\right), the least common multiple of x+35,15.
15x=5x+175
Use the distributive property to multiply x+35 by 5.
15x-5x=175
Subtract 5x from both sides.
10x=175
Combine 15x and -5x to get 10x.
x=\frac{175}{10}
Divide both sides by 10.
x=\frac{35}{2}
Reduce the fraction \frac{175}{10} to lowest terms by extracting and canceling out 5.