Solve for m
m=2
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3\left(m-2\right)=2\left(2-m\right)
Multiply both sides of the equation by 12, the least common multiple of 4,6.
3m-6=2\left(2-m\right)
Use the distributive property to multiply 3 by m-2.
3m-6=4-2m
Use the distributive property to multiply 2 by 2-m.
3m-6+2m=4
Add 2m to both sides.
5m-6=4
Combine 3m and 2m to get 5m.
5m=4+6
Add 6 to both sides.
5m=10
Add 4 and 6 to get 10.
m=\frac{10}{5}
Divide both sides by 5.
m=2
Divide 10 by 5 to get 2.
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