6x-42=-6(x+1)

Solution for 6x-42=-6(x+1) equation:

Simplifying
6x + -42 = -6(x + 1)

Reorder the terms:
-42 + 6x = -6(x + 1)

Reorder the terms:
-42 + 6x = -6(1 + x)
-42 + 6x = (1 * -6 + x * -6)
-42 + 6x = (-6 + -6x)

Solving
-42 + 6x = -6 + -6x

Solving for variable 'x'.

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

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

Combine like terms: 6x + 6x = 12x
-42 + 12x = -6 + -6x + 6x

Combine like terms: -6x + 6x = 0
-42 + 12x = -6 + 0
-42 + 12x = -6

Add '42' to each side of the equation.
-42 + 42 + 12x = -6 + 42

Combine like terms: -42 + 42 = 0
0 + 12x = -6 + 42
12x = -6 + 42

Combine like terms: -6 + 42 = 36
12x = 36

Divide each side by '12'.
x = 3

Simplifying
x = 3