6(x+7)=-12(x-5)

Solution for 6(x+7)=-12(x-5) equation:

Simplifying
6(x + 7) = -12(x + -5)

Reorder the terms:
6(7 + x) = -12(x + -5)
(7 * 6 + x * 6) = -12(x + -5)
(42 + 6x) = -12(x + -5)

Reorder the terms:
42 + 6x = -12(-5 + x)
42 + 6x = (-5 * -12 + x * -12)
42 + 6x = (60 + -12x)

Solving
42 + 6x = 60 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
42 + 6x + 12x = 60 + -12x + 12x

Combine like terms: 6x + 12x = 18x
42 + 18x = 60 + -12x + 12x

Combine like terms: -12x + 12x = 0
42 + 18x = 60 + 0
42 + 18x = 60

Add '-42' to each side of the equation.
42 + -42 + 18x = 60 + -42

Combine like terms: 42 + -42 = 0
0 + 18x = 60 + -42
18x = 60 + -42

Combine like terms: 60 + -42 = 18
18x = 18

Divide each side by '18'.
x = 1

Simplifying
x = 1