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3\left(2x-3\right)+2\left(x+5\right)=9
Multiply both sides of the equation by 12, the least common multiple of 4,6.
6x-9+2\left(x+5\right)=9
Use the distributive property to multiply 3 by 2x-3.
6x-9+2x+10=9
Use the distributive property to multiply 2 by x+5.
8x-9+10=9
Combine 6x and 2x to get 8x.
8x+1=9
Add -9 and 10 to get 1.
8x=9-1
Subtract 1 from both sides.
8x=8
Subtract 1 from 9 to get 8.
x=\frac{8}{8}
Divide both sides by 8.
x=1
Divide 8 by 8 to get 1.