6(7x+7)=-6(x+1)

Solution for 6(7x+7)=-6(x+1) equation:

Simplifying
6(7x + 7) = -6(x + 1)

Reorder the terms:
6(7 + 7x) = -6(x + 1)
(7 * 6 + 7x * 6) = -6(x + 1)
(42 + 42x) = -6(x + 1)

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

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

Combine like terms: 42x + 6x = 48x
42 + 48x = -6 + -6x + 6x

Combine like terms: -6x + 6x = 0
42 + 48x = -6 + 0
42 + 48x = -6

Add '-42' to each side of the equation.
42 + -42 + 48x = -6 + -42

Combine like terms: 42 + -42 = 0
0 + 48x = -6 + -42
48x = -6 + -42

Combine like terms: -6 + -42 = -48
48x = -48

Divide each side by '48'.
x = -1

Simplifying
x = -1