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2\left(x-2\right)=x+3
Multiply both sides of the equation by 6, the least common multiple of 3,6.
2x-4=x+3
Use the distributive property to multiply 2 by x-2.
2x-4-x=3
Subtract x from both sides.
x-4=3
Combine 2x and -x to get x.
x=3+4
Add 4 to both sides.
x=7
Add 3 and 4 to get 7.