Solve for x
x=4
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3\left(x-2\right)=2\left(7-x\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x-6=2\left(7-x\right)
Use the distributive property to multiply 3 by x-2.
3x-6=14-2x
Use the distributive property to multiply 2 by 7-x.
3x-6+2x=14
Add 2x to both sides.
5x-6=14
Combine 3x and 2x to get 5x.
5x=14+6
Add 6 to both sides.
5x=20
Add 14 and 6 to get 20.
x=\frac{20}{5}
Divide both sides by 5.
x=4
Divide 20 by 5 to get 4.
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