Solve for u
u=4
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2\left(2u+1\right)-3\left(u-2\right)=12
Multiply both sides of the equation by 6, the least common multiple of 3,2.
4u+2-3\left(u-2\right)=12
Use the distributive property to multiply 2 by 2u+1.
4u+2-3u+6=12
Use the distributive property to multiply -3 by u-2.
u+2+6=12
Combine 4u and -3u to get u.
u+8=12
Add 2 and 6 to get 8.
u=12-8
Subtract 8 from both sides.
u=4
Subtract 8 from 12 to get 4.
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