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

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

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

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

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

Combine like terms: -4 + 4 = 0
0 + 7u + 8u = -3(u + 2)
7u + 8u = -3(u + 2)

Combine like terms: 7u + 8u = 15u
15u = -3(u + 2)

Reorder the terms:
15u = -3(2 + u)
15u = (2 * -3 + u * -3)
15u = (-6 + -3u)

Solving
15u = -6 + -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.
15u + 3u = -6 + -3u + 3u

Combine like terms: 15u + 3u = 18u
18u = -6 + -3u + 3u

Combine like terms: -3u + 3u = 0
18u = -6 + 0
18u = -6

Divide each side by '18'.
u = -0.3333333333

Simplifying
u = -0.3333333333