3(v+2)+2u=7(u-1)+5

Solution for 3(v+2)+2u=7(u-1)+5 equation:

Simplifying
3(v + 2) + 2u = 7(u + -1) + 5

Reorder the terms:
3(2 + v) + 2u = 7(u + -1) + 5
(2 * 3 + v * 3) + 2u = 7(u + -1) + 5
(6 + 3v) + 2u = 7(u + -1) + 5

Reorder the terms:
6 + 2u + 3v = 7(u + -1) + 5

Reorder the terms:
6 + 2u + 3v = 7(-1 + u) + 5
6 + 2u + 3v = (-1 * 7 + u * 7) + 5
6 + 2u + 3v = (-7 + 7u) + 5

Reorder the terms:
6 + 2u + 3v = -7 + 5 + 7u

Combine like terms: -7 + 5 = -2
6 + 2u + 3v = -2 + 7u

Solving
6 + 2u + 3v = -2 + 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 + 2u + -7u + 3v = -2 + 7u + -7u

Combine like terms: 2u + -7u = -5u
6 + -5u + 3v = -2 + 7u + -7u

Combine like terms: 7u + -7u = 0
6 + -5u + 3v = -2 + 0
6 + -5u + 3v = -2

Add '-6' to each side of the equation.
6 + -5u + -6 + 3v = -2 + -6

Reorder the terms:
6 + -6 + -5u + 3v = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -5u + 3v = -2 + -6
-5u + 3v = -2 + -6

Combine like terms: -2 + -6 = -8
-5u + 3v = -8

Add '-3v' to each side of the equation.
-5u + 3v + -3v = -8 + -3v

Combine like terms: 3v + -3v = 0
-5u + 0 = -8 + -3v
-5u = -8 + -3v

Divide each side by '-5'.
u = 1.6 + 0.6v

Simplifying
u = 1.6 + 0.6v