3(u+2)+2u=7(u-1)+1

Solution for 3(u+2)+2u=7(u-1)+1 equation:

Simplifying
3(u + 2) + 2u = 7(u + -1) + 1

Reorder the terms:
3(2 + u) + 2u = 7(u + -1) + 1
(2 * 3 + u * 3) + 2u = 7(u + -1) + 1
(6 + 3u) + 2u = 7(u + -1) + 1

Combine like terms: 3u + 2u = 5u
6 + 5u = 7(u + -1) + 1

Reorder the terms:
6 + 5u = 7(-1 + u) + 1
6 + 5u = (-1 * 7 + u * 7) + 1
6 + 5u = (-7 + 7u) + 1

Reorder the terms:
6 + 5u = -7 + 1 + 7u

Combine like terms: -7 + 1 = -6
6 + 5u = -6 + 7u

Solving
6 + 5u = -6 + 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 + 5u + -7u = -6 + 7u + -7u

Combine like terms: 5u + -7u = -2u
6 + -2u = -6 + 7u + -7u

Combine like terms: 7u + -7u = 0
6 + -2u = -6 + 0
6 + -2u = -6

Add '-6' to each side of the equation.
6 + -6 + -2u = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -2u = -6 + -6
-2u = -6 + -6

Combine like terms: -6 + -6 = -12
-2u = -12

Divide each side by '-2'.
u = 6

Simplifying
u = 6