2u+6=-2(u+1)

Solution for 2u+6=-2(u+1) equation:

Simplifying
2u + 6 = -2(u + 1)

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

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

Solving
6 + 2u = -2 + -2u

Solving for variable 'u'.

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

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

Combine like terms: 2u + 2u = 4u
6 + 4u = -2 + -2u + 2u

Combine like terms: -2u + 2u = 0
6 + 4u = -2 + 0
6 + 4u = -2

Add '-6' to each side of the equation.
6 + -6 + 4u = -2 + -6

Combine like terms: 6 + -6 = 0
0 + 4u = -2 + -6
4u = -2 + -6

Combine like terms: -2 + -6 = -8
4u = -8

Divide each side by '4'.
u = -2

Simplifying
u = -2