u-3+2(2u+1)=-5(u+1)

Solution for u-3+2(2u+1)=-5(u+1) equation:

Simplifying
u + -3 + 2(2u + 1) = -5(u + 1)

Reorder the terms:
u + -3 + 2(1 + 2u) = -5(u + 1)
u + -3 + (1 * 2 + 2u * 2) = -5(u + 1)
u + -3 + (2 + 4u) = -5(u + 1)

Reorder the terms:
-3 + 2 + u + 4u = -5(u + 1)

Combine like terms: -3 + 2 = -1
-1 + u + 4u = -5(u + 1)

Combine like terms: u + 4u = 5u
-1 + 5u = -5(u + 1)

Reorder the terms:
-1 + 5u = -5(1 + u)
-1 + 5u = (1 * -5 + u * -5)
-1 + 5u = (-5 + -5u)

Solving
-1 + 5u = -5 + -5u

Solving for variable 'u'.

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

Add '5u' to each side of the equation.
-1 + 5u + 5u = -5 + -5u + 5u

Combine like terms: 5u + 5u = 10u
-1 + 10u = -5 + -5u + 5u

Combine like terms: -5u + 5u = 0
-1 + 10u = -5 + 0
-1 + 10u = -5

Add '1' to each side of the equation.
-1 + 1 + 10u = -5 + 1

Combine like terms: -1 + 1 = 0
0 + 10u = -5 + 1
10u = -5 + 1

Combine like terms: -5 + 1 = -4
10u = -4

Divide each side by '10'.
u = -0.4

Simplifying
u = -0.4