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6\left(x-2\right)=x+3
Multiply both sides of the equation by 2.
6x-12=x+3
Use the distributive property to multiply 6 by x-2.
6x-12-x=3
Subtract x from both sides.
5x-12=3
Combine 6x and -x to get 5x.
5x=3+12
Add 12 to both sides.
5x=15
Add 3 and 12 to get 15.
x=\frac{15}{5}
Divide both sides by 5.
x=3
Divide 15 by 5 to get 3.