5u-6+4(2u+1)=-3(u+4)

Solution for 5u-6+4(2u+1)=-3(u+4) equation:

Simplifying
5u + -6 + 4(2u + 1) = -3(u + 4)

Reorder the terms:
5u + -6 + 4(1 + 2u) = -3(u + 4)
5u + -6 + (1 * 4 + 2u * 4) = -3(u + 4)
5u + -6 + (4 + 8u) = -3(u + 4)

Reorder the terms:
-6 + 4 + 5u + 8u = -3(u + 4)

Combine like terms: -6 + 4 = -2
-2 + 5u + 8u = -3(u + 4)

Combine like terms: 5u + 8u = 13u
-2 + 13u = -3(u + 4)

Reorder the terms:
-2 + 13u = -3(4 + u)
-2 + 13u = (4 * -3 + u * -3)
-2 + 13u = (-12 + -3u)

Solving
-2 + 13u = -12 + -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.
-2 + 13u + 3u = -12 + -3u + 3u

Combine like terms: 13u + 3u = 16u
-2 + 16u = -12 + -3u + 3u

Combine like terms: -3u + 3u = 0
-2 + 16u = -12 + 0
-2 + 16u = -12

Add '2' to each side of the equation.
-2 + 2 + 16u = -12 + 2

Combine like terms: -2 + 2 = 0
0 + 16u = -12 + 2
16u = -12 + 2

Combine like terms: -12 + 2 = -10
16u = -10

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

Simplifying
u = -0.625