-6(u+1)+8=2(u-3)

Solution for -6(u+1)+8=2(u-3) equation:

Simplifying
-6(u + 1) + 8 = 2(u + -3)

Reorder the terms:
-6(1 + u) + 8 = 2(u + -3)
(1 * -6 + u * -6) + 8 = 2(u + -3)
(-6 + -6u) + 8 = 2(u + -3)

Reorder the terms:
-6 + 8 + -6u = 2(u + -3)

Combine like terms: -6 + 8 = 2
2 + -6u = 2(u + -3)

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

Solving
2 + -6u = -6 + 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.
2 + -6u + -2u = -6 + 2u + -2u

Combine like terms: -6u + -2u = -8u
2 + -8u = -6 + 2u + -2u

Combine like terms: 2u + -2u = 0
2 + -8u = -6 + 0
2 + -8u = -6

Add '-2' to each side of the equation.
2 + -2 + -8u = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -8u = -6 + -2
-8u = -6 + -2

Combine like terms: -6 + -2 = -8
-8u = -8

Divide each side by '-8'.
u = 1

Simplifying
u = 1