Solve for x
x=2
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3\left(x+3\right)-2\left(x-2\right)=6x-1+4
Multiply both sides of the equation by 6, the least common multiple of 2,3,6.
3x+9-2\left(x-2\right)=6x-1+4
Use the distributive property to multiply 3 by x+3.
3x+9-2x+4=6x-1+4
Use the distributive property to multiply -2 by x-2.
x+9+4=6x-1+4
Combine 3x and -2x to get x.
x+13=6x-1+4
Add 9 and 4 to get 13.
x+13=6x+3
Add -1 and 4 to get 3.
x+13-6x=3
Subtract 6x from both sides.
-5x+13=3
Combine x and -6x to get -5x.
-5x=3-13
Subtract 13 from both sides.
-5x=-10
Subtract 13 from 3 to get -10.
x=\frac{-10}{-5}
Divide both sides by -5.
x=2
Divide -10 by -5 to get 2.
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