4(u+3)=3(u-2)

Solution for 4(u+3)=3(u-2) equation:

Simplifying
4(u + 3) = 3(u + -2)

Reorder the terms:
4(3 + u) = 3(u + -2)
(3 * 4 + u * 4) = 3(u + -2)
(12 + 4u) = 3(u + -2)

Reorder the terms:
12 + 4u = 3(-2 + u)
12 + 4u = (-2 * 3 + u * 3)
12 + 4u = (-6 + 3u)

Solving
12 + 4u = -6 + 3u

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '-3u' to each side of the equation.
12 + 4u + -3u = -6 + 3u + -3u

Combine like terms: 4u + -3u = 1u
12 + 1u = -6 + 3u + -3u

Combine like terms: 3u + -3u = 0
12 + 1u = -6 + 0
12 + 1u = -6

Add '-12' to each side of the equation.
12 + -12 + 1u = -6 + -12

Combine like terms: 12 + -12 = 0
0 + 1u = -6 + -12
1u = -6 + -12

Combine like terms: -6 + -12 = -18
1u = -18

Divide each side by '1'.
u = -18

Simplifying
u = -18