-3(u+1)=u-6+2(4u+3)

Solution for -3(u+1)=u-6+2(4u+3) equation:

Simplifying
-3(u + 1) = u + -6 + 2(4u + 3)

Reorder the terms:
-3(1 + u) = u + -6 + 2(4u + 3)
(1 * -3 + u * -3) = u + -6 + 2(4u + 3)
(-3 + -3u) = u + -6 + 2(4u + 3)

Reorder the terms:
-3 + -3u = u + -6 + 2(3 + 4u)
-3 + -3u = u + -6 + (3 * 2 + 4u * 2)
-3 + -3u = u + -6 + (6 + 8u)

Reorder the terms:
-3 + -3u = -6 + 6 + u + 8u

Combine like terms: -6 + 6 = 0
-3 + -3u = 0 + u + 8u
-3 + -3u = u + 8u

Combine like terms: u + 8u = 9u
-3 + -3u = 9u

Solving
-3 + -3u = 9u

Solving for variable 'u'.

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

Add '-9u' to each side of the equation.
-3 + -3u + -9u = 9u + -9u

Combine like terms: -3u + -9u = -12u
-3 + -12u = 9u + -9u

Combine like terms: 9u + -9u = 0
-3 + -12u = 0

Add '3' to each side of the equation.
-3 + 3 + -12u = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -12u = 0 + 3
-12u = 0 + 3

Combine like terms: 0 + 3 = 3
-12u = 3

Divide each side by '-12'.
u = -0.25

Simplifying
u = -0.25