Solve for x
x=18
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\left(x-13\right)\times 13=\left(x-5\right)\times 5
Variable x cannot be equal to any of the values 5,13 since division by zero is not defined. Multiply both sides of the equation by \left(x-13\right)\left(x-5\right), the least common multiple of x-5,x-13.
13x-169=\left(x-5\right)\times 5
Use the distributive property to multiply x-13 by 13.
13x-169=5x-25
Use the distributive property to multiply x-5 by 5.
13x-169-5x=-25
Subtract 5x from both sides.
8x-169=-25
Combine 13x and -5x to get 8x.
8x=-25+169
Add 169 to both sides.
8x=144
Add -25 and 169 to get 144.
x=\frac{144}{8}
Divide both sides by 8.
x=18
Divide 144 by 8 to get 18.
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