9(x+9)=5[x-(7-x)]

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Solution for 9(x+9)=5[x-(7-x)] equation:


Simplifying
9(x + 9) = 5[x + -1(7 + -1x)]

Reorder the terms:
9(9 + x) = 5[x + -1(7 + -1x)]
(9 * 9 + x * 9) = 5[x + -1(7 + -1x)]
(81 + 9x) = 5[x + -1(7 + -1x)]
81 + 9x = 5[x + (7 * -1 + -1x * -1)]
81 + 9x = 5[x + (-7 + 1x)]

Reorder the terms:
81 + 9x = 5[-7 + x + 1x]

Combine like terms: x + 1x = 2x
81 + 9x = 5[-7 + 2x]
81 + 9x = [-7 * 5 + 2x * 5]
81 + 9x = [-35 + 10x]

Solving
81 + 9x = -35 + 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.
81 + 9x + -10x = -35 + 10x + -10x

Combine like terms: 9x + -10x = -1x
81 + -1x = -35 + 10x + -10x

Combine like terms: 10x + -10x = 0
81 + -1x = -35 + 0
81 + -1x = -35

Add '-81' to each side of the equation.
81 + -81 + -1x = -35 + -81

Combine like terms: 81 + -81 = 0
0 + -1x = -35 + -81
-1x = -35 + -81

Combine like terms: -35 + -81 = -116
-1x = -116

Divide each side by '-1'.
x = 116

Simplifying
x = 116

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