5(x-4)-9(x+2)=-2(x+8)

Solution for 5(x-4)-9(x+2)=-2(x+8) equation:

Simplifying
5(x + -4) + -9(x + 2) = -2(x + 8)

Reorder the terms:
5(-4 + x) + -9(x + 2) = -2(x + 8)
(-4 * 5 + x * 5) + -9(x + 2) = -2(x + 8)
(-20 + 5x) + -9(x + 2) = -2(x + 8)

Reorder the terms:
-20 + 5x + -9(2 + x) = -2(x + 8)
-20 + 5x + (2 * -9 + x * -9) = -2(x + 8)
-20 + 5x + (-18 + -9x) = -2(x + 8)

Reorder the terms:
-20 + -18 + 5x + -9x = -2(x + 8)

Combine like terms: -20 + -18 = -38
-38 + 5x + -9x = -2(x + 8)

Combine like terms: 5x + -9x = -4x
-38 + -4x = -2(x + 8)

Reorder the terms:
-38 + -4x = -2(8 + x)
-38 + -4x = (8 * -2 + x * -2)
-38 + -4x = (-16 + -2x)

Solving
-38 + -4x = -16 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-38 + -4x + 2x = -16 + -2x + 2x

Combine like terms: -4x + 2x = -2x
-38 + -2x = -16 + -2x + 2x

Combine like terms: -2x + 2x = 0
-38 + -2x = -16 + 0
-38 + -2x = -16

Add '38' to each side of the equation.
-38 + 38 + -2x = -16 + 38

Combine like terms: -38 + 38 = 0
0 + -2x = -16 + 38
-2x = -16 + 38

Combine like terms: -16 + 38 = 22
-2x = 22

Divide each side by '-2'.
x = -11

Simplifying
x = -11