2(x+3)=-7(x+6)-24

Solution for 2(x+3)=-7(x+6)-24 equation:

Simplifying
2(x + 3) = -7(x + 6) + -24

Reorder the terms:
2(3 + x) = -7(x + 6) + -24
(3 * 2 + x * 2) = -7(x + 6) + -24
(6 + 2x) = -7(x + 6) + -24

Reorder the terms:
6 + 2x = -7(6 + x) + -24
6 + 2x = (6 * -7 + x * -7) + -24
6 + 2x = (-42 + -7x) + -24

Reorder the terms:
6 + 2x = -42 + -24 + -7x

Combine like terms: -42 + -24 = -66
6 + 2x = -66 + -7x

Solving
6 + 2x = -66 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
6 + 2x + 7x = -66 + -7x + 7x

Combine like terms: 2x + 7x = 9x
6 + 9x = -66 + -7x + 7x

Combine like terms: -7x + 7x = 0
6 + 9x = -66 + 0
6 + 9x = -66

Add '-6' to each side of the equation.
6 + -6 + 9x = -66 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = -66 + -6
9x = -66 + -6

Combine like terms: -66 + -6 = -72
9x = -72

Divide each side by '9'.
x = -8

Simplifying
x = -8