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

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

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

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

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

Multiply 2 * 8
-6 + -6u = 16(1 + -3u)
-6 + -6u = (1 * 16 + -3u * 16)
-6 + -6u = (16 + -48u)

Solving
-6 + -6u = 16 + -48u

Solving for variable 'u'.

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

Add '48u' to each side of the equation.
-6 + -6u + 48u = 16 + -48u + 48u

Combine like terms: -6u + 48u = 42u
-6 + 42u = 16 + -48u + 48u

Combine like terms: -48u + 48u = 0
-6 + 42u = 16 + 0
-6 + 42u = 16

Add '6' to each side of the equation.
-6 + 6 + 42u = 16 + 6

Combine like terms: -6 + 6 = 0
0 + 42u = 16 + 6
42u = 16 + 6

Combine like terms: 16 + 6 = 22
42u = 22

Divide each side by '42'.
u = 0.5238095238

Simplifying
u = 0.5238095238