6u+48=-3(u-1)

Solution for 6u+48=-3(u-1) equation:

Simplifying
6u + 48 = -3(u + -1)

Reorder the terms:
48 + 6u = -3(u + -1)

Reorder the terms:
48 + 6u = -3(-1 + u)
48 + 6u = (-1 * -3 + u * -3)
48 + 6u = (3 + -3u)

Solving
48 + 6u = 3 + -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.
48 + 6u + 3u = 3 + -3u + 3u

Combine like terms: 6u + 3u = 9u
48 + 9u = 3 + -3u + 3u

Combine like terms: -3u + 3u = 0
48 + 9u = 3 + 0
48 + 9u = 3

Add '-48' to each side of the equation.
48 + -48 + 9u = 3 + -48

Combine like terms: 48 + -48 = 0
0 + 9u = 3 + -48
9u = 3 + -48

Combine like terms: 3 + -48 = -45
9u = -45

Divide each side by '9'.
u = -5

Simplifying
u = -5