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7x=5\left(x-1\right)
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by x-1.
7x=5x-5
Use the distributive property to multiply 5 by x-1.
7x-5x=-5
Subtract 5x from both sides.
2x=-5
Combine 7x and -5x to get 2x.
x=\frac{-5}{2}
Divide both sides by 2.
x=-\frac{5}{2}
Fraction \frac{-5}{2} can be rewritten as -\frac{5}{2} by extracting the negative sign.