Solve for x
x = \frac{7}{4} = 1\frac{3}{4} = 1.75
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5x-2=-3\left(x-4\right)
Variable x cannot be equal to 4 since division by zero is not defined. Multiply both sides of the equation by x-4.
5x-2=-3x+12
Use the distributive property to multiply -3 by x-4.
5x-2+3x=12
Add 3x to both sides.
8x-2=12
Combine 5x and 3x to get 8x.
8x=12+2
Add 2 to both sides.
8x=14
Add 12 and 2 to get 14.
x=\frac{14}{8}
Divide both sides by 8.
x=\frac{7}{4}
Reduce the fraction \frac{14}{8} to lowest terms by extracting and canceling out 2.
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