Solve for x
x=\frac{1}{3}\approx 0.333333333
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6x+3-\left(x+2\right)=2x-3\left(x-1\right)
Use the distributive property to multiply 3 by 2x+1.
6x+3-x-2=2x-3\left(x-1\right)
To find the opposite of x+2, find the opposite of each term.
5x+3-2=2x-3\left(x-1\right)
Combine 6x and -x to get 5x.
5x+1=2x-3\left(x-1\right)
Subtract 2 from 3 to get 1.
5x+1=2x-3x+3
Use the distributive property to multiply -3 by x-1.
5x+1=-x+3
Combine 2x and -3x to get -x.
5x+1+x=3
Add x to both sides.
6x+1=3
Combine 5x and x to get 6x.
6x=3-1
Subtract 1 from both sides.
6x=2
Subtract 1 from 3 to get 2.
x=\frac{2}{6}
Divide both sides by 6.
x=\frac{1}{3}
Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.
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