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6x-9=4\left(x+1\right)
Use the distributive property to multiply 3 by 2x-3.
6x-9=4x+4
Use the distributive property to multiply 4 by x+1.
6x-9-4x=4
Subtract 4x from both sides.
2x-9=4
Combine 6x and -4x to get 2x.
2x=4+9
Add 9 to both sides.
2x=13
Add 4 and 9 to get 13.
x=\frac{13}{2}
Divide both sides by 2.