4u+6=-6(u-6)

Solution for 4u+6=-6(u-6) equation:

Simplifying
4u + 6 = -6(u + -6)

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

Reorder the terms:
6 + 4u = -6(-6 + u)
6 + 4u = (-6 * -6 + u * -6)
6 + 4u = (36 + -6u)

Solving
6 + 4u = 36 + -6u

Solving for variable 'u'.

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

Add '6u' to each side of the equation.
6 + 4u + 6u = 36 + -6u + 6u

Combine like terms: 4u + 6u = 10u
6 + 10u = 36 + -6u + 6u

Combine like terms: -6u + 6u = 0
6 + 10u = 36 + 0
6 + 10u = 36

Add '-6' to each side of the equation.
6 + -6 + 10u = 36 + -6

Combine like terms: 6 + -6 = 0
0 + 10u = 36 + -6
10u = 36 + -6

Combine like terms: 36 + -6 = 30
10u = 30

Divide each side by '10'.
u = 3

Simplifying
u = 3