7u-5+2(2u+4)=-3(u+1)

Solution for 7u-5+2(2u+4)=-3(u+1) equation:

Simplifying
7u + -5 + 2(2u + 4) = -3(u + 1)

Reorder the terms:
7u + -5 + 2(4 + 2u) = -3(u + 1)
7u + -5 + (4 * 2 + 2u * 2) = -3(u + 1)
7u + -5 + (8 + 4u) = -3(u + 1)

Reorder the terms:
-5 + 8 + 7u + 4u = -3(u + 1)

Combine like terms: -5 + 8 = 3
3 + 7u + 4u = -3(u + 1)

Combine like terms: 7u + 4u = 11u
3 + 11u = -3(u + 1)

Reorder the terms:
3 + 11u = -3(1 + u)
3 + 11u = (1 * -3 + u * -3)
3 + 11u = (-3 + -3u)

Solving
3 + 11u = -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.
3 + 11u + 3u = -3 + -3u + 3u

Combine like terms: 11u + 3u = 14u
3 + 14u = -3 + -3u + 3u

Combine like terms: -3u + 3u = 0
3 + 14u = -3 + 0
3 + 14u = -3

Add '-3' to each side of the equation.
3 + -3 + 14u = -3 + -3

Combine like terms: 3 + -3 = 0
0 + 14u = -3 + -3
14u = -3 + -3

Combine like terms: -3 + -3 = -6
14u = -6

Divide each side by '14'.
u = -0.4285714286

Simplifying
u = -0.4285714286