Solve for x
x=7
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-4\left(x-2\right)=-5\left(x-3\right)
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by 4\left(x-3\right), the least common multiple of 3-x,4.
-4x+8=-5\left(x-3\right)
Use the distributive property to multiply -4 by x-2.
-4x+8=-5x+15
Use the distributive property to multiply -5 by x-3.
-4x+8+5x=15
Add 5x to both sides.
x+8=15
Combine -4x and 5x to get x.
x=15-8
Subtract 8 from both sides.
x=7
Subtract 8 from 15 to get 7.
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