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

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

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

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

Remove parenthesis around (-2u)
6 + -18u = 5 * -2u

Multiply 5 * -2
6 + -18u = -10u

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

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

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

Add '-6' to each side of the equation.
6 + -6 + -8u = 0 + -6

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

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

Divide each side by '-8'.
u = 0.75

Simplifying
u = 0.75