Solve for x
x=2
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2\left(x-2\right)=6-3x
Multiply both sides of the equation by 6, the least common multiple of 3,2.
2x-4=6-3x
Use the distributive property to multiply 2 by x-2.
2x-4+3x=6
Add 3x to both sides.
5x-4=6
Combine 2x and 3x to get 5x.
5x=6+4
Add 4 to both sides.
5x=10
Add 6 and 4 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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