Solve for x
x=2
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3\left(3x+2\right)+2\left(5x-1\right)=42
Multiply both sides of the equation by 6, the least common multiple of 2,3.
9x+6+2\left(5x-1\right)=42
Use the distributive property to multiply 3 by 3x+2.
9x+6+10x-2=42
Use the distributive property to multiply 2 by 5x-1.
19x+6-2=42
Combine 9x and 10x to get 19x.
19x+4=42
Subtract 2 from 6 to get 4.
19x=42-4
Subtract 4 from both sides.
19x=38
Subtract 4 from 42 to get 38.
x=\frac{38}{19}
Divide both sides by 19.
x=2
Divide 38 by 19 to get 2.
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