Solve for x
x=2
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3\left(2x-3\right)=x+1
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by 3\left(x-3\right), the least common multiple of x-3,3x-9.
6x-9=x+1
Use the distributive property to multiply 3 by 2x-3.
6x-9-x=1
Subtract x from both sides.
5x-9=1
Combine 6x and -x to get 5x.
5x=1+9
Add 9 to both sides.
5x=10
Add 1 and 9 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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