Solve for x
x=4
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3\left(3x-2\right)=5\left(x+2\right)
Multiply both sides of the equation by 15, the least common multiple of 5,3.
9x-6=5\left(x+2\right)
Use the distributive property to multiply 3 by 3x-2.
9x-6=5x+10
Use the distributive property to multiply 5 by x+2.
9x-6-5x=10
Subtract 5x from both sides.
4x-6=10
Combine 9x and -5x to get 4x.
4x=10+6
Add 6 to both sides.
4x=16
Add 10 and 6 to get 16.
x=\frac{16}{4}
Divide both sides by 4.
x=4
Divide 16 by 4 to get 4.
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