2u+6=4u-2

Solution for 2u+6=4u-2 equation:

Simplifying
2u + 6 = 4u + -2

Reorder the terms:
6 + 2u = 4u + -2

Reorder the terms:
6 + 2u = -2 + 4u

Solving
6 + 2u = -2 + 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 + 2u + -4u = -2 + 4u + -4u

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

Combine like terms: 4u + -4u = 0
6 + -2u = -2 + 0
6 + -2u = -2

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

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

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

Divide each side by '-2'.
u = 4

Simplifying
u = 4