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-\left(2x-5\right)=3x+8
Variable x cannot be equal to \frac{5}{2} since division by zero is not defined. Multiply both sides of the equation by 2x-5.
-2x+5=3x+8
To find the opposite of 2x-5, find the opposite of each term.
-2x+5-3x=8
Subtract 3x from both sides.
-5x+5=8
Combine -2x and -3x to get -5x.
-5x=8-5
Subtract 5 from both sides.
-5x=3
Subtract 5 from 8 to get 3.
x=\frac{3}{-5}
Divide both sides by -5.
x=-\frac{3}{5}
Fraction \frac{3}{-5} can be rewritten as -\frac{3}{5} by extracting the negative sign.