6(u-7)=2u-6

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

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

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

Reorder the terms:
-42 + 6u = -6 + 2u

Solving
-42 + 6u = -6 + 2u

Solving for variable 'u'.

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

Add '-2u' to each side of the equation.
-42 + 6u + -2u = -6 + 2u + -2u

Combine like terms: 6u + -2u = 4u
-42 + 4u = -6 + 2u + -2u

Combine like terms: 2u + -2u = 0
-42 + 4u = -6 + 0
-42 + 4u = -6

Add '42' to each side of the equation.
-42 + 42 + 4u = -6 + 42

Combine like terms: -42 + 42 = 0
0 + 4u = -6 + 42
4u = -6 + 42

Combine like terms: -6 + 42 = 36
4u = 36

Divide each side by '4'.
u = 9

Simplifying
u = 9