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2x=-\left(-7x+6\right)
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x-2, the least common multiple of x-2,2-x.
2x=7x-6
To find the opposite of -7x+6, find the opposite of each term.
2x-7x=-6
Subtract 7x from both sides.
-5x=-6
Combine 2x and -7x to get -5x.
x=\frac{-6}{-5}
Divide both sides by -5.
x=\frac{6}{5}
Fraction \frac{-6}{-5} can be simplified to \frac{6}{5} by removing the negative sign from both the numerator and the denominator.