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