6(u+1)=4u+14

Solution for 6(u+1)=4u+14 equation:

Simplifying
6(u + 1) = 4u + 14

Reorder the terms:
6(1 + u) = 4u + 14
(1 * 6 + u * 6) = 4u + 14
(6 + 6u) = 4u + 14

Reorder the terms:
6 + 6u = 14 + 4u

Solving
6 + 6u = 14 + 4u

Solving for variable 'u'.

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

Add '-4u' to each side of the equation.
6 + 6u + -4u = 14 + 4u + -4u

Combine like terms: 6u + -4u = 2u
6 + 2u = 14 + 4u + -4u

Combine like terms: 4u + -4u = 0
6 + 2u = 14 + 0
6 + 2u = 14

Add '-6' to each side of the equation.
6 + -6 + 2u = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 2u = 14 + -6
2u = 14 + -6

Combine like terms: 14 + -6 = 8
2u = 8

Divide each side by '2'.
u = 4

Simplifying
u = 4