4u-5+2(4u+4)=-6(u+1)

Solution for 4u-5+2(4u+4)=-6(u+1) equation:

Simplifying
4u + -5 + 2(4u + 4) = -6(u + 1)

Reorder the terms:
4u + -5 + 2(4 + 4u) = -6(u + 1)
4u + -5 + (4 * 2 + 4u * 2) = -6(u + 1)
4u + -5 + (8 + 8u) = -6(u + 1)

Reorder the terms:
-5 + 8 + 4u + 8u = -6(u + 1)

Combine like terms: -5 + 8 = 3
3 + 4u + 8u = -6(u + 1)

Combine like terms: 4u + 8u = 12u
3 + 12u = -6(u + 1)

Reorder the terms:
3 + 12u = -6(1 + u)
3 + 12u = (1 * -6 + u * -6)
3 + 12u = (-6 + -6u)

Solving
3 + 12u = -6 + -6u

Solving for variable 'u'.

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

Add '6u' to each side of the equation.
3 + 12u + 6u = -6 + -6u + 6u

Combine like terms: 12u + 6u = 18u
3 + 18u = -6 + -6u + 6u

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

Add '-3' to each side of the equation.
3 + -3 + 18u = -6 + -3

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

Combine like terms: -6 + -3 = -9
18u = -9

Divide each side by '18'.
u = -0.5

Simplifying
u = -0.5