9x-11x=-7(x+6)+4(x+5)

Solution for 9x-11x=-7(x+6)+4(x+5) equation:

Simplifying
9x + -11x = -7(x + 6) + 4(x + 5)

Combine like terms: 9x + -11x = -2x
-2x = -7(x + 6) + 4(x + 5)

Reorder the terms:
-2x = -7(6 + x) + 4(x + 5)
-2x = (6 * -7 + x * -7) + 4(x + 5)
-2x = (-42 + -7x) + 4(x + 5)

Reorder the terms:
-2x = -42 + -7x + 4(5 + x)
-2x = -42 + -7x + (5 * 4 + x * 4)
-2x = -42 + -7x + (20 + 4x)

Reorder the terms:
-2x = -42 + 20 + -7x + 4x

Combine like terms: -42 + 20 = -22
-2x = -22 + -7x + 4x

Combine like terms: -7x + 4x = -3x
-2x = -22 + -3x

Solving
-2x = -22 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-2x + 3x = -22 + -3x + 3x

Combine like terms: -2x + 3x = 1x
1x = -22 + -3x + 3x

Combine like terms: -3x + 3x = 0
1x = -22 + 0
1x = -22

Divide each side by '1'.
x = -22

Simplifying
x = -22