2(x+9)-3(x+6)=-9(x+16)

Solution for 2(x+9)-3(x+6)=-9(x+16) equation:

Simplifying
2(x + 9) + -3(x + 6) = -9(x + 16)

Reorder the terms:
2(9 + x) + -3(x + 6) = -9(x + 16)
(9 * 2 + x * 2) + -3(x + 6) = -9(x + 16)
(18 + 2x) + -3(x + 6) = -9(x + 16)

Reorder the terms:
18 + 2x + -3(6 + x) = -9(x + 16)
18 + 2x + (6 * -3 + x * -3) = -9(x + 16)
18 + 2x + (-18 + -3x) = -9(x + 16)

Reorder the terms:
18 + -18 + 2x + -3x = -9(x + 16)

Combine like terms: 18 + -18 = 0
0 + 2x + -3x = -9(x + 16)
2x + -3x = -9(x + 16)

Combine like terms: 2x + -3x = -1x
-1x = -9(x + 16)

Reorder the terms:
-1x = -9(16 + x)
-1x = (16 * -9 + x * -9)
-1x = (-144 + -9x)

Solving
-1x = -144 + -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.
-1x + 9x = -144 + -9x + 9x

Combine like terms: -1x + 9x = 8x
8x = -144 + -9x + 9x

Combine like terms: -9x + 9x = 0
8x = -144 + 0
8x = -144

Divide each side by '8'.
x = -18

Simplifying
x = -18