Solve for x
x=13
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\left(x-7\right)\times 7=\left(x+8\right)\times 2
Variable x cannot be equal to any of the values -8,7 since division by zero is not defined. Multiply both sides of the equation by \left(x-7\right)\left(x+8\right), the least common multiple of x+8,x-7.
7x-49=\left(x+8\right)\times 2
Use the distributive property to multiply x-7 by 7.
7x-49=2x+16
Use the distributive property to multiply x+8 by 2.
7x-49-2x=16
Subtract 2x from both sides.
5x-49=16
Combine 7x and -2x to get 5x.
5x=16+49
Add 49 to both sides.
5x=65
Add 16 and 49 to get 65.
x=\frac{65}{5}
Divide both sides by 5.
x=13
Divide 65 by 5 to get 13.
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