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4x+2-4x-8=5\left(3x+1\right)
Use the distributive property to multiply -4 by x+2.
2-8=5\left(3x+1\right)
Combine 4x and -4x to get 0.
-6=5\left(3x+1\right)
Subtract 8 from 2 to get -6.
-6=15x+5
Use the distributive property to multiply 5 by 3x+1.
15x+5=-6
Swap sides so that all variable terms are on the left hand side.
15x=-6-5
Subtract 5 from both sides.
15x=-11
Subtract 5 from -6 to get -11.
x=\frac{-11}{15}
Divide both sides by 15.
x=-\frac{11}{15}
Fraction \frac{-11}{15} can be rewritten as -\frac{11}{15} by extracting the negative sign.