Solve for x
x=\frac{1}{2}=0.5
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-2\left(3x-4\right)+2\left(4x-3\right)\times \frac{5}{2}=0
Variable x cannot be equal to \frac{3}{4} since division by zero is not defined. Multiply both sides of the equation by 2\left(4x-3\right), the least common multiple of 3-4x,2.
-6x+8+2\left(4x-3\right)\times \frac{5}{2}=0
Use the distributive property to multiply -2 by 3x-4.
-6x+8+5\left(4x-3\right)=0
Multiply 2 and \frac{5}{2} to get 5.
-6x+8+20x-15=0
Use the distributive property to multiply 5 by 4x-3.
14x+8-15=0
Combine -6x and 20x to get 14x.
14x-7=0
Subtract 15 from 8 to get -7.
14x=7
Add 7 to both sides. Anything plus zero gives itself.
x=\frac{7}{14}
Divide both sides by 14.
x=\frac{1}{2}
Reduce the fraction \frac{7}{14} to lowest terms by extracting and canceling out 7.
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