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

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

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

Reorder the terms:
u + -3 + 2(2 + 3u) = -3(u + 1)
u + -3 + (2 * 2 + 3u * 2) = -3(u + 1)
u + -3 + (4 + 6u) = -3(u + 1)

Reorder the terms:
-3 + 4 + u + 6u = -3(u + 1)

Combine like terms: -3 + 4 = 1
1 + u + 6u = -3(u + 1)

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

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

Solving
1 + 7u = -3 + -3u

Solving for variable 'u'.

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

Add '3u' to each side of the equation.
1 + 7u + 3u = -3 + -3u + 3u

Combine like terms: 7u + 3u = 10u
1 + 10u = -3 + -3u + 3u

Combine like terms: -3u + 3u = 0
1 + 10u = -3 + 0
1 + 10u = -3

Add '-1' to each side of the equation.
1 + -1 + 10u = -3 + -1

Combine like terms: 1 + -1 = 0
0 + 10u = -3 + -1
10u = -3 + -1

Combine like terms: -3 + -1 = -4
10u = -4

Divide each side by '10'.
u = -0.4

Simplifying
u = -0.4