6(7-u)=3(x+2)

Solution for 6(7-u)=3(x+2) equation:

Simplifying
6(7 + -1u) = 3(x + 2)
(7 * 6 + -1u * 6) = 3(x + 2)
(42 + -6u) = 3(x + 2)

Reorder the terms:
42 + -6u = 3(2 + x)
42 + -6u = (2 * 3 + x * 3)
42 + -6u = (6 + 3x)

Solving
42 + -6u = 6 + 3x

Solving for variable 'u'.

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

Add '-42' to each side of the equation.
42 + -42 + -6u = 6 + -42 + 3x

Combine like terms: 42 + -42 = 0
0 + -6u = 6 + -42 + 3x
-6u = 6 + -42 + 3x

Combine like terms: 6 + -42 = -36
-6u = -36 + 3x

Divide each side by '-6'.
u = 6 + -0.5x

Simplifying
u = 6 + -0.5x