6(x+7)=-9(x+8)

Solution for 6(x+7)=-9(x+8) equation:

Simplifying
6(x + 7) = -9(x + 8)

Reorder the terms:
6(7 + x) = -9(x + 8)
(7 * 6 + x * 6) = -9(x + 8)
(42 + 6x) = -9(x + 8)

Reorder the terms:
42 + 6x = -9(8 + x)
42 + 6x = (8 * -9 + x * -9)
42 + 6x = (-72 + -9x)

Solving
42 + 6x = -72 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
42 + 6x + 9x = -72 + -9x + 9x

Combine like terms: 6x + 9x = 15x
42 + 15x = -72 + -9x + 9x

Combine like terms: -9x + 9x = 0
42 + 15x = -72 + 0
42 + 15x = -72

Add '-42' to each side of the equation.
42 + -42 + 15x = -72 + -42

Combine like terms: 42 + -42 = 0
0 + 15x = -72 + -42
15x = -72 + -42

Combine like terms: -72 + -42 = -114
15x = -114

Divide each side by '15'.
x = -7.6

Simplifying
x = -7.6