2(2u+3)+2(4u-18)=114

Solution for 2(2u+3)+2(4u-18)=114 equation:

Simplifying
2(2u + 3) + 2(4u + -18) = 114

Reorder the terms:
2(3 + 2u) + 2(4u + -18) = 114
(3 * 2 + 2u * 2) + 2(4u + -18) = 114
(6 + 4u) + 2(4u + -18) = 114

Reorder the terms:
6 + 4u + 2(-18 + 4u) = 114
6 + 4u + (-18 * 2 + 4u * 2) = 114
6 + 4u + (-36 + 8u) = 114

Reorder the terms:
6 + -36 + 4u + 8u = 114

Combine like terms: 6 + -36 = -30
-30 + 4u + 8u = 114

Combine like terms: 4u + 8u = 12u
-30 + 12u = 114

Solving
-30 + 12u = 114

Solving for variable 'u'.

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

Add '30' to each side of the equation.
-30 + 30 + 12u = 114 + 30

Combine like terms: -30 + 30 = 0
0 + 12u = 114 + 30
12u = 114 + 30

Combine like terms: 114 + 30 = 144
12u = 144

Divide each side by '12'.
u = 12

Simplifying
u = 12