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

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

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

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

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

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

Combine like terms: 3u + 6u = 9u
-1 + 9u = -5(u + 1)

Reorder the terms:
-1 + 9u = -5(1 + u)
-1 + 9u = (1 * -5 + u * -5)
-1 + 9u = (-5 + -5u)

Solving
-1 + 9u = -5 + -5u

Solving for variable 'u'.

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

Add '5u' to each side of the equation.
-1 + 9u + 5u = -5 + -5u + 5u

Combine like terms: 9u + 5u = 14u
-1 + 14u = -5 + -5u + 5u

Combine like terms: -5u + 5u = 0
-1 + 14u = -5 + 0
-1 + 14u = -5

Add '1' to each side of the equation.
-1 + 1 + 14u = -5 + 1

Combine like terms: -1 + 1 = 0
0 + 14u = -5 + 1
14u = -5 + 1

Combine like terms: -5 + 1 = -4
14u = -4

Divide each side by '14'.
u = -0.2857142857

Simplifying
u = -0.2857142857