4(5u+3)-5(2u+1)=27

Solution for 4(5u+3)-5(2u+1)=27 equation:

Simplifying
4(5u + 3) + -5(2u + 1) = 27

Reorder the terms:
4(3 + 5u) + -5(2u + 1) = 27
(3 * 4 + 5u * 4) + -5(2u + 1) = 27
(12 + 20u) + -5(2u + 1) = 27

Reorder the terms:
12 + 20u + -5(1 + 2u) = 27
12 + 20u + (1 * -5 + 2u * -5) = 27
12 + 20u + (-5 + -10u) = 27

Reorder the terms:
12 + -5 + 20u + -10u = 27

Combine like terms: 12 + -5 = 7
7 + 20u + -10u = 27

Combine like terms: 20u + -10u = 10u
7 + 10u = 27

Solving
7 + 10u = 27

Solving for variable 'u'.

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

Add '-7' to each side of the equation.
7 + -7 + 10u = 27 + -7

Combine like terms: 7 + -7 = 0
0 + 10u = 27 + -7
10u = 27 + -7

Combine like terms: 27 + -7 = 20
10u = 20

Divide each side by '10'.
u = 2

Simplifying
u = 2