3=5(1[u+6]1)-8u

Solution for 3=5(1[u+6]1)-8u equation:

Simplifying
3 = 5(1[u + 6] * 1) + -8u

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

Reorder the terms for easier multiplication:
3 = 5(1 * 1[6 + u]) + -8u

Multiply 1 * 1
3 = 5(1[6 + u]) + -8u
3 = 5([6 * 1 + u * 1]) + -8u
3 = 5([6 + 1u]) + -8u
3 = (6 * 5 + 1u * 5) + -8u
3 = (30 + 5u) + -8u

Combine like terms: 5u + -8u = -3u
3 = 30 + -3u

Solving
3 = 30 + -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.
3 + 3u = 30 + -3u + 3u

Combine like terms: -3u + 3u = 0
3 + 3u = 30 + 0
3 + 3u = 30

Add '-3' to each side of the equation.
3 + -3 + 3u = 30 + -3

Combine like terms: 3 + -3 = 0
0 + 3u = 30 + -3
3u = 30 + -3

Combine like terms: 30 + -3 = 27
3u = 27

Divide each side by '3'.
u = 9

Simplifying
u = 9