6(u-7)-8u=-22

Solution for 6(u-7)-8u=-22 equation:

Simplifying
6(u + -7) + -8u = -22

Reorder the terms:
6(-7 + u) + -8u = -22
(-7 * 6 + u * 6) + -8u = -22
(-42 + 6u) + -8u = -22

Combine like terms: 6u + -8u = -2u
-42 + -2u = -22

Solving
-42 + -2u = -22

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 + -2u = -22 + 42

Combine like terms: -42 + 42 = 0
0 + -2u = -22 + 42
-2u = -22 + 42

Combine like terms: -22 + 42 = 20
-2u = 20

Divide each side by '-2'.
u = -10

Simplifying
u = -10