5u-6+5(2u+1)=3(u+1)

Solution for 5u-6+5(2u+1)=3(u+1) equation:

Simplifying
5u + -6 + 5(2u + 1) = 3(u + 1)

Reorder the terms:
5u + -6 + 5(1 + 2u) = 3(u + 1)
5u + -6 + (1 * 5 + 2u * 5) = 3(u + 1)
5u + -6 + (5 + 10u) = 3(u + 1)

Reorder the terms:
-6 + 5 + 5u + 10u = 3(u + 1)

Combine like terms: -6 + 5 = -1
-1 + 5u + 10u = 3(u + 1)

Combine like terms: 5u + 10u = 15u
-1 + 15u = 3(u + 1)

Reorder the terms:
-1 + 15u = 3(1 + u)
-1 + 15u = (1 * 3 + u * 3)
-1 + 15u = (3 + 3u)

Solving
-1 + 15u = 3 + 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.
-1 + 15u + -3u = 3 + 3u + -3u

Combine like terms: 15u + -3u = 12u
-1 + 12u = 3 + 3u + -3u

Combine like terms: 3u + -3u = 0
-1 + 12u = 3 + 0
-1 + 12u = 3

Add '1' to each side of the equation.
-1 + 1 + 12u = 3 + 1

Combine like terms: -1 + 1 = 0
0 + 12u = 3 + 1
12u = 3 + 1

Combine like terms: 3 + 1 = 4
12u = 4

Divide each side by '12'.
u = 0.3333333333

Simplifying
u = 0.3333333333