3(x-4)-9(x+6)=-4(x+20)

Solution for 3(x-4)-9(x+6)=-4(x+20) equation:

Simplifying
3(x + -4) + -9(x + 6) = -4(x + 20)

Reorder the terms:
3(-4 + x) + -9(x + 6) = -4(x + 20)
(-4 * 3 + x * 3) + -9(x + 6) = -4(x + 20)
(-12 + 3x) + -9(x + 6) = -4(x + 20)

Reorder the terms:
-12 + 3x + -9(6 + x) = -4(x + 20)
-12 + 3x + (6 * -9 + x * -9) = -4(x + 20)
-12 + 3x + (-54 + -9x) = -4(x + 20)

Reorder the terms:
-12 + -54 + 3x + -9x = -4(x + 20)

Combine like terms: -12 + -54 = -66
-66 + 3x + -9x = -4(x + 20)

Combine like terms: 3x + -9x = -6x
-66 + -6x = -4(x + 20)

Reorder the terms:
-66 + -6x = -4(20 + x)
-66 + -6x = (20 * -4 + x * -4)
-66 + -6x = (-80 + -4x)

Solving
-66 + -6x = -80 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-66 + -6x + 4x = -80 + -4x + 4x

Combine like terms: -6x + 4x = -2x
-66 + -2x = -80 + -4x + 4x

Combine like terms: -4x + 4x = 0
-66 + -2x = -80 + 0
-66 + -2x = -80

Add '66' to each side of the equation.
-66 + 66 + -2x = -80 + 66

Combine like terms: -66 + 66 = 0
0 + -2x = -80 + 66
-2x = -80 + 66

Combine like terms: -80 + 66 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7