3u-6+2(3u+1)=-7(u+2)

Solution for 3u-6+2(3u+1)=-7(u+2) equation:

Simplifying
3u + -6 + 2(3u + 1) = -7(u + 2)

Reorder the terms:
3u + -6 + 2(1 + 3u) = -7(u + 2)
3u + -6 + (1 * 2 + 3u * 2) = -7(u + 2)
3u + -6 + (2 + 6u) = -7(u + 2)

Reorder the terms:
-6 + 2 + 3u + 6u = -7(u + 2)

Combine like terms: -6 + 2 = -4
-4 + 3u + 6u = -7(u + 2)

Combine like terms: 3u + 6u = 9u
-4 + 9u = -7(u + 2)

Reorder the terms:
-4 + 9u = -7(2 + u)
-4 + 9u = (2 * -7 + u * -7)
-4 + 9u = (-14 + -7u)

Solving
-4 + 9u = -14 + -7u

Solving for variable 'u'.

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

Add '7u' to each side of the equation.
-4 + 9u + 7u = -14 + -7u + 7u

Combine like terms: 9u + 7u = 16u
-4 + 16u = -14 + -7u + 7u

Combine like terms: -7u + 7u = 0
-4 + 16u = -14 + 0
-4 + 16u = -14

Add '4' to each side of the equation.
-4 + 4 + 16u = -14 + 4

Combine like terms: -4 + 4 = 0
0 + 16u = -14 + 4
16u = -14 + 4

Combine like terms: -14 + 4 = -10
16u = -10

Divide each side by '16'.
u = -0.625

Simplifying
u = -0.625