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6x-9+5=2\left(x-1\right)+8
Use the distributive property to multiply 3 by 2x-3.
6x-4=2\left(x-1\right)+8
Add -9 and 5 to get -4.
6x-4=2x-2+8
Use the distributive property to multiply 2 by x-1.
6x-4=2x+6
Add -2 and 8 to get 6.
6x-4-2x=6
Subtract 2x from both sides.
4x-4=6
Combine 6x and -2x to get 4x.
4x=6+4
Add 4 to both sides.
4x=10
Add 6 and 4 to get 10.
x=\frac{10}{4}
Divide both sides by 4.
x=\frac{5}{2}
Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.