2(u+8)=-6(3u-1)+8u

Solution for 2(u+8)=-6(3u-1)+8u equation:

Simplifying
2(u + 8) = -6(3u + -1) + 8u

Reorder the terms:
2(8 + u) = -6(3u + -1) + 8u
(8 * 2 + u * 2) = -6(3u + -1) + 8u
(16 + 2u) = -6(3u + -1) + 8u

Reorder the terms:
16 + 2u = -6(-1 + 3u) + 8u
16 + 2u = (-1 * -6 + 3u * -6) + 8u
16 + 2u = (6 + -18u) + 8u

Combine like terms: -18u + 8u = -10u
16 + 2u = 6 + -10u

Solving
16 + 2u = 6 + -10u

Solving for variable 'u'.

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

Add '10u' to each side of the equation.
16 + 2u + 10u = 6 + -10u + 10u

Combine like terms: 2u + 10u = 12u
16 + 12u = 6 + -10u + 10u

Combine like terms: -10u + 10u = 0
16 + 12u = 6 + 0
16 + 12u = 6

Add '-16' to each side of the equation.
16 + -16 + 12u = 6 + -16

Combine like terms: 16 + -16 = 0
0 + 12u = 6 + -16
12u = 6 + -16

Combine like terms: 6 + -16 = -10
12u = -10

Divide each side by '12'.
u = -0.8333333333

Simplifying
u = -0.8333333333