Solve for x
x=-5
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7x\times 10=\left(13x-5\right)\times 5
Variable x cannot be equal to any of the values 0,\frac{5}{13} since division by zero is not defined. Multiply both sides of the equation by 7x\left(13x-5\right), the least common multiple of 13x-5,7x.
70x=\left(13x-5\right)\times 5
Multiply 7 and 10 to get 70.
70x=65x-25
Use the distributive property to multiply 13x-5 by 5.
70x-65x=-25
Subtract 65x from both sides.
5x=-25
Combine 70x and -65x to get 5x.
x=\frac{-25}{5}
Divide both sides by 5.
x=-5
Divide -25 by 5 to get -5.
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