Solve for x
x=1
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-5\left(4-3x\right)=2x-7
Variable x cannot be equal to \frac{7}{2} since division by zero is not defined. Multiply both sides of the equation by 5\left(2x-7\right), the least common multiple of 7-2x,5.
-20+15x=2x-7
Use the distributive property to multiply -5 by 4-3x.
-20+15x-2x=-7
Subtract 2x from both sides.
-20+13x=-7
Combine 15x and -2x to get 13x.
13x=-7+20
Add 20 to both sides.
13x=13
Add -7 and 20 to get 13.
x=\frac{13}{13}
Divide both sides by 13.
x=1
Divide 13 by 13 to get 1.
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