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