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