Solve for x
x = \frac{37}{6} = 6\frac{1}{6} \approx 6.166666667
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2\left(3x-2\right)+3\left(2x+3\right)=6x+42
Multiply both sides of the equation by 6, the least common multiple of 3,2.
6x-4+3\left(2x+3\right)=6x+42
Use the distributive property to multiply 2 by 3x-2.
6x-4+6x+9=6x+42
Use the distributive property to multiply 3 by 2x+3.
12x-4+9=6x+42
Combine 6x and 6x to get 12x.
12x+5=6x+42
Add -4 and 9 to get 5.
12x+5-6x=42
Subtract 6x from both sides.
6x+5=42
Combine 12x and -6x to get 6x.
6x=42-5
Subtract 5 from both sides.
6x=37
Subtract 5 from 42 to get 37.
x=\frac{37}{6}
Divide both sides by 6.
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