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

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

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

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

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

Solving
-6 + -2u = 4 + 3u

Solving for variable 'u'.

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

Add '-3u' to each side of the equation.
-6 + -2u + -3u = 4 + 3u + -3u

Combine like terms: -2u + -3u = -5u
-6 + -5u = 4 + 3u + -3u

Combine like terms: 3u + -3u = 0
-6 + -5u = 4 + 0
-6 + -5u = 4

Add '6' to each side of the equation.
-6 + 6 + -5u = 4 + 6

Combine like terms: -6 + 6 = 0
0 + -5u = 4 + 6
-5u = 4 + 6

Combine like terms: 4 + 6 = 10
-5u = 10

Divide each side by '-5'.
u = -2

Simplifying
u = -2