9(x-5)=-(x-2)+x-11

Solution for 9(x-5)=-(x-2)+x-11 equation:

Simplifying
9(x + -5) = -1(x + -2) + x + -11

Reorder the terms:
9(-5 + x) = -1(x + -2) + x + -11
(-5 * 9 + x * 9) = -1(x + -2) + x + -11
(-45 + 9x) = -1(x + -2) + x + -11

Reorder the terms:
-45 + 9x = -1(-2 + x) + x + -11
-45 + 9x = (-2 * -1 + x * -1) + x + -11
-45 + 9x = (2 + -1x) + x + -11

Reorder the terms:
-45 + 9x = 2 + -11 + -1x + x

Combine like terms: 2 + -11 = -9
-45 + 9x = -9 + -1x + x

Combine like terms: -1x + x = 0
-45 + 9x = -9 + 0
-45 + 9x = -9

Solving
-45 + 9x = -9

Solving for variable 'x'.

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

Add '45' to each side of the equation.
-45 + 45 + 9x = -9 + 45

Combine like terms: -45 + 45 = 0
0 + 9x = -9 + 45
9x = -9 + 45

Combine like terms: -9 + 45 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4