3(3u+2)+5u=6(u-4)-26

Solution for 3(3u+2)+5u=6(u-4)-26 equation:

Simplifying
3(3u + 2) + 5u = 6(u + -4) + -26

Reorder the terms:
3(2 + 3u) + 5u = 6(u + -4) + -26
(2 * 3 + 3u * 3) + 5u = 6(u + -4) + -26
(6 + 9u) + 5u = 6(u + -4) + -26

Combine like terms: 9u + 5u = 14u
6 + 14u = 6(u + -4) + -26

Reorder the terms:
6 + 14u = 6(-4 + u) + -26
6 + 14u = (-4 * 6 + u * 6) + -26
6 + 14u = (-24 + 6u) + -26

Reorder the terms:
6 + 14u = -24 + -26 + 6u

Combine like terms: -24 + -26 = -50
6 + 14u = -50 + 6u

Solving
6 + 14u = -50 + 6u

Solving for variable 'u'.

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

Add '-6u' to each side of the equation.
6 + 14u + -6u = -50 + 6u + -6u

Combine like terms: 14u + -6u = 8u
6 + 8u = -50 + 6u + -6u

Combine like terms: 6u + -6u = 0
6 + 8u = -50 + 0
6 + 8u = -50

Add '-6' to each side of the equation.
6 + -6 + 8u = -50 + -6

Combine like terms: 6 + -6 = 0
0 + 8u = -50 + -6
8u = -50 + -6

Combine like terms: -50 + -6 = -56
8u = -56

Divide each side by '8'.
u = -7

Simplifying
u = -7