9(x+8)=5[x-(2-x)]

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

Simplifying
9(x + 8) = 5[x + -1(2 + -1x)]

Reorder the terms:
9(8 + x) = 5[x + -1(2 + -1x)]
(8 * 9 + x * 9) = 5[x + -1(2 + -1x)]
(72 + 9x) = 5[x + -1(2 + -1x)]
72 + 9x = 5[x + (2 * -1 + -1x * -1)]
72 + 9x = 5[x + (-2 + 1x)]

Reorder the terms:
72 + 9x = 5[-2 + x + 1x]

Combine like terms: x + 1x = 2x
72 + 9x = 5[-2 + 2x]
72 + 9x = [-2 * 5 + 2x * 5]
72 + 9x = [-10 + 10x]

Solving
72 + 9x = -10 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
72 + 9x + -10x = -10 + 10x + -10x

Combine like terms: 9x + -10x = -1x
72 + -1x = -10 + 10x + -10x

Combine like terms: 10x + -10x = 0
72 + -1x = -10 + 0
72 + -1x = -10

Add '-72' to each side of the equation.
72 + -72 + -1x = -10 + -72

Combine like terms: 72 + -72 = 0
0 + -1x = -10 + -72
-1x = -10 + -72

Combine like terms: -10 + -72 = -82
-1x = -82

Divide each side by '-1'.
x = 82

Simplifying
x = 82