Solve for x
x=-\frac{1}{3}\approx -0.333333333
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2\left(3x+2\right)-3\left(x-1\right)=6
Multiply both sides of the equation by 6, the least common multiple of 3,2.
6x+4-3\left(x-1\right)=6
Use the distributive property to multiply 2 by 3x+2.
6x+4-3x+3=6
Use the distributive property to multiply -3 by x-1.
3x+4+3=6
Combine 6x and -3x to get 3x.
3x+7=6
Add 4 and 3 to get 7.
3x=6-7
Subtract 7 from both sides.
3x=-1
Subtract 7 from 6 to get -1.
x=\frac{-1}{3}
Divide both sides by 3.
x=-\frac{1}{3}
Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.
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