6(u+1)=-4(4u-5)+4u

Solution for 6(u+1)=-4(4u-5)+4u equation:

Simplifying
6(u + 1) = -4(4u + -5) + 4u

Reorder the terms:
6(1 + u) = -4(4u + -5) + 4u
(1 * 6 + u * 6) = -4(4u + -5) + 4u
(6 + 6u) = -4(4u + -5) + 4u

Reorder the terms:
6 + 6u = -4(-5 + 4u) + 4u
6 + 6u = (-5 * -4 + 4u * -4) + 4u
6 + 6u = (20 + -16u) + 4u

Combine like terms: -16u + 4u = -12u
6 + 6u = 20 + -12u

Solving
6 + 6u = 20 + -12u

Solving for variable 'u'.

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

Add '12u' to each side of the equation.
6 + 6u + 12u = 20 + -12u + 12u

Combine like terms: 6u + 12u = 18u
6 + 18u = 20 + -12u + 12u

Combine like terms: -12u + 12u = 0
6 + 18u = 20 + 0
6 + 18u = 20

Add '-6' to each side of the equation.
6 + -6 + 18u = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 18u = 20 + -6
18u = 20 + -6

Combine like terms: 20 + -6 = 14
18u = 14

Divide each side by '18'.
u = 0.7777777778

Simplifying
u = 0.7777777778