-4u+6=-2(u+3)

Solution for -4u+6=-2(u+3) equation:

Simplifying
-4u + 6 = -2(u + 3)

Reorder the terms:
6 + -4u = -2(u + 3)

Reorder the terms:
6 + -4u = -2(3 + u)
6 + -4u = (3 * -2 + u * -2)
6 + -4u = (-6 + -2u)

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

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

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

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

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

Combine like terms: -6 + -6 = -12
-2u = -12

Divide each side by '-2'.
u = 6

Simplifying
u = 6