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6\left(x-2\right)=2x+3
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x-2.
6x-12=2x+3
Use the distributive property to multiply 6 by x-2.
6x-12-2x=3
Subtract 2x from both sides.
4x-12=3
Combine 6x and -2x to get 4x.
4x=3+12
Add 12 to both sides.
4x=15
Add 3 and 12 to get 15.
x=\frac{15}{4}
Divide both sides by 4.