3(u+2)=7u-26

Solution for 3(u+2)=7u-26 equation:

Simplifying
3(u + 2) = 7u + -26

Reorder the terms:
3(2 + u) = 7u + -26
(2 * 3 + u * 3) = 7u + -26
(6 + 3u) = 7u + -26

Reorder the terms:
6 + 3u = -26 + 7u

Solving
6 + 3u = -26 + 7u

Solving for variable 'u'.

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

Add '-7u' to each side of the equation.
6 + 3u + -7u = -26 + 7u + -7u

Combine like terms: 3u + -7u = -4u
6 + -4u = -26 + 7u + -7u

Combine like terms: 7u + -7u = 0
6 + -4u = -26 + 0
6 + -4u = -26

Add '-6' to each side of the equation.
6 + -6 + -4u = -26 + -6

Combine like terms: 6 + -6 = 0
0 + -4u = -26 + -6
-4u = -26 + -6

Combine like terms: -26 + -6 = -32
-4u = -32

Divide each side by '-4'.
u = 8

Simplifying
u = 8