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

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

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

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

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

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

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

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

Solving
-6 + -6u = 3 + 6u

Solving for variable 'u'.

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

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

Combine like terms: -6u + -6u = -12u
-6 + -12u = 3 + 6u + -6u

Combine like terms: 6u + -6u = 0
-6 + -12u = 3 + 0
-6 + -12u = 3

Add '6' to each side of the equation.
-6 + 6 + -12u = 3 + 6

Combine like terms: -6 + 6 = 0
0 + -12u = 3 + 6
-12u = 3 + 6

Combine like terms: 3 + 6 = 9
-12u = 9

Divide each side by '-12'.
u = -0.75

Simplifying
u = -0.75