2(2u+3)+4u=6(u+6)-3u

Solution for 2(2u+3)+4u=6(u+6)-3u equation:

Simplifying
2(2u + 3) + 4u = 6(u + 6) + -3u

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

Combine like terms: 4u + 4u = 8u
6 + 8u = 6(u + 6) + -3u

Reorder the terms:
6 + 8u = 6(6 + u) + -3u
6 + 8u = (6 * 6 + u * 6) + -3u
6 + 8u = (36 + 6u) + -3u

Combine like terms: 6u + -3u = 3u
6 + 8u = 36 + 3u

Solving
6 + 8u = 36 + 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.
6 + 8u + -3u = 36 + 3u + -3u

Combine like terms: 8u + -3u = 5u
6 + 5u = 36 + 3u + -3u

Combine like terms: 3u + -3u = 0
6 + 5u = 36 + 0
6 + 5u = 36

Add '-6' to each side of the equation.
6 + -6 + 5u = 36 + -6

Combine like terms: 6 + -6 = 0
0 + 5u = 36 + -6
5u = 36 + -6

Combine like terms: 36 + -6 = 30
5u = 30

Divide each side by '5'.
u = 6

Simplifying
u = 6