Solve for x
x=13
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\left(x-7\right)\times 8=\left(x+3\right)\times 3
Variable x cannot be equal to any of the values -3,7 since division by zero is not defined. Multiply both sides of the equation by \left(x-7\right)\left(x+3\right), the least common multiple of x+3,x-7.
8x-56=\left(x+3\right)\times 3
Use the distributive property to multiply x-7 by 8.
8x-56=3x+9
Use the distributive property to multiply x+3 by 3.
8x-56-3x=9
Subtract 3x from both sides.
5x-56=9
Combine 8x and -3x to get 5x.
5x=9+56
Add 56 to both sides.
5x=65
Add 9 and 56 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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