-2u+42=-6(u-5)

Solution for -2u+42=-6(u-5) equation:

Simplifying
-2u + 42 = -6(u + -5)

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

Reorder the terms:
42 + -2u = -6(-5 + u)
42 + -2u = (-5 * -6 + u * -6)
42 + -2u = (30 + -6u)

Solving
42 + -2u = 30 + -6u

Solving for variable 'u'.

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

Add '6u' to each side of the equation.
42 + -2u + 6u = 30 + -6u + 6u

Combine like terms: -2u + 6u = 4u
42 + 4u = 30 + -6u + 6u

Combine like terms: -6u + 6u = 0
42 + 4u = 30 + 0
42 + 4u = 30

Add '-42' to each side of the equation.
42 + -42 + 4u = 30 + -42

Combine like terms: 42 + -42 = 0
0 + 4u = 30 + -42
4u = 30 + -42

Combine like terms: 30 + -42 = -12
4u = -12

Divide each side by '4'.
u = -3

Simplifying
u = -3