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2\left(x+17\right)=3\left(x+7\right)
Variable x cannot be equal to -7 since division by zero is not defined. Multiply both sides of the equation by 2\left(x+7\right), the least common multiple of x+8-1,2.
2x+34=3\left(x+7\right)
Use the distributive property to multiply 2 by x+17.
2x+34=3x+21
Use the distributive property to multiply 3 by x+7.
2x+34-3x=21
Subtract 3x from both sides.
-x+34=21
Combine 2x and -3x to get -x.
-x=21-34
Subtract 34 from both sides.
-x=-13
Subtract 34 from 21 to get -13.
x=13
Multiply both sides by -1.