8u+2-4(-3u+2)=4(u-1)

Solution for 8u+2-4(-3u+2)=4(u-1) equation:

Simplifying
8u + 2 + -4(-3u + 2) = 4(u + -1)

Reorder the terms:
8u + 2 + -4(2 + -3u) = 4(u + -1)
8u + 2 + (2 * -4 + -3u * -4) = 4(u + -1)
8u + 2 + (-8 + 12u) = 4(u + -1)

Reorder the terms:
2 + -8 + 8u + 12u = 4(u + -1)

Combine like terms: 2 + -8 = -6
-6 + 8u + 12u = 4(u + -1)

Combine like terms: 8u + 12u = 20u
-6 + 20u = 4(u + -1)

Reorder the terms:
-6 + 20u = 4(-1 + u)
-6 + 20u = (-1 * 4 + u * 4)
-6 + 20u = (-4 + 4u)

Solving
-6 + 20u = -4 + 4u

Solving for variable 'u'.

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

Add '-4u' to each side of the equation.
-6 + 20u + -4u = -4 + 4u + -4u

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

Combine like terms: 4u + -4u = 0
-6 + 16u = -4 + 0
-6 + 16u = -4

Add '6' to each side of the equation.
-6 + 6 + 16u = -4 + 6

Combine like terms: -6 + 6 = 0
0 + 16u = -4 + 6
16u = -4 + 6

Combine like terms: -4 + 6 = 2
16u = 2

Divide each side by '16'.
u = 0.125

Simplifying
u = 0.125