Solve for x
x=3
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4\left(3x-2\right)+3+x=3\left(3x+3\right)-2
Multiply both sides of the equation by 12, the least common multiple of 3,12,4,6.
12x-8+3+x=3\left(3x+3\right)-2
Use the distributive property to multiply 4 by 3x-2.
12x-5+x=3\left(3x+3\right)-2
Add -8 and 3 to get -5.
13x-5=3\left(3x+3\right)-2
Combine 12x and x to get 13x.
13x-5=9x+9-2
Use the distributive property to multiply 3 by 3x+3.
13x-5=9x+7
Subtract 2 from 9 to get 7.
13x-5-9x=7
Subtract 9x from both sides.
4x-5=7
Combine 13x and -9x to get 4x.
4x=7+5
Add 5 to both sides.
4x=12
Add 7 and 5 to get 12.
x=\frac{12}{4}
Divide both sides by 4.
x=3
Divide 12 by 4 to get 3.
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