6(-3u+1)=5(-2u-2)

Solution for 6(-3u+1)=5(-2u-2) equation:

Simplifying
6(-3u + 1) = 5(-2u + -2)

Reorder the terms:
6(1 + -3u) = 5(-2u + -2)
(1 * 6 + -3u * 6) = 5(-2u + -2)
(6 + -18u) = 5(-2u + -2)

Reorder the terms:
6 + -18u = 5(-2 + -2u)
6 + -18u = (-2 * 5 + -2u * 5)
6 + -18u = (-10 + -10u)

Solving
6 + -18u = -10 + -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.
6 + -18u + 10u = -10 + -10u + 10u

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

Combine like terms: -10u + 10u = 0
6 + -8u = -10 + 0
6 + -8u = -10

Add '-6' to each side of the equation.
6 + -6 + -8u = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -8u = -10 + -6
-8u = -10 + -6

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

Divide each side by '-8'.
u = 2

Simplifying
u = 2