6u-6+2(4u+3)=-4(u+2)

Solution for 6u-6+2(4u+3)=-4(u+2) equation:

Simplifying
6u + -6 + 2(4u + 3) = -4(u + 2)

Reorder the terms:
6u + -6 + 2(3 + 4u) = -4(u + 2)
6u + -6 + (3 * 2 + 4u * 2) = -4(u + 2)
6u + -6 + (6 + 8u) = -4(u + 2)

Reorder the terms:
-6 + 6 + 6u + 8u = -4(u + 2)

Combine like terms: -6 + 6 = 0
0 + 6u + 8u = -4(u + 2)
6u + 8u = -4(u + 2)

Combine like terms: 6u + 8u = 14u
14u = -4(u + 2)

Reorder the terms:
14u = -4(2 + u)
14u = (2 * -4 + u * -4)
14u = (-8 + -4u)

Solving
14u = -8 + -4u

Solving for variable 'u'.

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

Add '4u' to each side of the equation.
14u + 4u = -8 + -4u + 4u

Combine like terms: 14u + 4u = 18u
18u = -8 + -4u + 4u

Combine like terms: -4u + 4u = 0
18u = -8 + 0
18u = -8

Divide each side by '18'.
u = -0.4444444444

Simplifying
u = -0.4444444444