Solve for x
x = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667
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4x-2=-3-5\left(x-5\right)
Combine 3x and x to get 4x.
4x-2=-3-5x+25
Use the distributive property to multiply -5 by x-5.
4x-2=22-5x
Add -3 and 25 to get 22.
4x-2+5x=22
Add 5x to both sides.
9x-2=22
Combine 4x and 5x to get 9x.
9x=22+2
Add 2 to both sides.
9x=24
Add 22 and 2 to get 24.
x=\frac{24}{9}
Divide both sides by 9.
x=\frac{8}{3}
Reduce the fraction \frac{24}{9} to lowest terms by extracting and canceling out 3.
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