-6(4u-1)+8u=-2(u+5)

Solution for -6(4u-1)+8u=-2(u+5) equation:

Simplifying
-6(4u + -1) + 8u = -2(u + 5)

Reorder the terms:
-6(-1 + 4u) + 8u = -2(u + 5)
(-1 * -6 + 4u * -6) + 8u = -2(u + 5)
(6 + -24u) + 8u = -2(u + 5)

Combine like terms: -24u + 8u = -16u
6 + -16u = -2(u + 5)

Reorder the terms:
6 + -16u = -2(5 + u)
6 + -16u = (5 * -2 + u * -2)
6 + -16u = (-10 + -2u)

Solving
6 + -16u = -10 + -2u

Solving for variable 'u'.

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

Add '2u' to each side of the equation.
6 + -16u + 2u = -10 + -2u + 2u

Combine like terms: -16u + 2u = -14u
6 + -14u = -10 + -2u + 2u

Combine like terms: -2u + 2u = 0
6 + -14u = -10 + 0
6 + -14u = -10

Add '-6' to each side of the equation.
6 + -6 + -14u = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -14u = -10 + -6
-14u = -10 + -6

Combine like terms: -10 + -6 = -16
-14u = -16

Divide each side by '-14'.
u = 1.142857143

Simplifying
u = 1.142857143