-2(u+3)=4u-6+2(3u+5)

Solution for -2(u+3)=4u-6+2(3u+5) equation:

Simplifying
-2(u + 3) = 4u + -6 + 2(3u + 5)

Reorder the terms:
-2(3 + u) = 4u + -6 + 2(3u + 5)
(3 * -2 + u * -2) = 4u + -6 + 2(3u + 5)
(-6 + -2u) = 4u + -6 + 2(3u + 5)

Reorder the terms:
-6 + -2u = 4u + -6 + 2(5 + 3u)
-6 + -2u = 4u + -6 + (5 * 2 + 3u * 2)
-6 + -2u = 4u + -6 + (10 + 6u)

Reorder the terms:
-6 + -2u = -6 + 10 + 4u + 6u

Combine like terms: -6 + 10 = 4
-6 + -2u = 4 + 4u + 6u

Combine like terms: 4u + 6u = 10u
-6 + -2u = 4 + 10u

Solving
-6 + -2u = 4 + 10u

Solving for variable 'u'.

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

Add '-10u' to each side of the equation.
-6 + -2u + -10u = 4 + 10u + -10u

Combine like terms: -2u + -10u = -12u
-6 + -12u = 4 + 10u + -10u

Combine like terms: 10u + -10u = 0
-6 + -12u = 4 + 0
-6 + -12u = 4

Add '6' to each side of the equation.
-6 + 6 + -12u = 4 + 6

Combine like terms: -6 + 6 = 0
0 + -12u = 4 + 6
-12u = 4 + 6

Combine like terms: 4 + 6 = 10
-12u = 10

Divide each side by '-12'.
u = -0.8333333333

Simplifying
u = -0.8333333333