6(u-7)+5u=2

Solution for 6(u-7)+5u=2 equation:

Simplifying
6(u + -7) + 5u = 2

Reorder the terms:
6(-7 + u) + 5u = 2
(-7 * 6 + u * 6) + 5u = 2
(-42 + 6u) + 5u = 2

Combine like terms: 6u + 5u = 11u
-42 + 11u = 2

Solving
-42 + 11u = 2

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 + 11u = 2 + 42

Combine like terms: -42 + 42 = 0
0 + 11u = 2 + 42
11u = 2 + 42

Combine like terms: 2 + 42 = 44
11u = 44

Divide each side by '11'.
u = 4

Simplifying
u = 4