4u-42=-2(u-3)

Solution for 4u-42=-2(u-3) equation:

Simplifying
4u + -42 = -2(u + -3)

Reorder the terms:
-42 + 4u = -2(u + -3)

Reorder the terms:
-42 + 4u = -2(-3 + u)
-42 + 4u = (-3 * -2 + u * -2)
-42 + 4u = (6 + -2u)

Solving
-42 + 4u = 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 + 4u + 2u = 6 + -2u + 2u

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

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

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

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

Combine like terms: 6 + 42 = 48
6u = 48

Divide each side by '6'.
u = 8

Simplifying
u = 8