9(x+6)=5[x-(2-x)]

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Solution for 9(x+6)=5[x-(2-x)] equation:


Simplifying
9(x + 6) = 5[x + -1(2 + -1x)]

Reorder the terms:
9(6 + x) = 5[x + -1(2 + -1x)]
(6 * 9 + x * 9) = 5[x + -1(2 + -1x)]
(54 + 9x) = 5[x + -1(2 + -1x)]
54 + 9x = 5[x + (2 * -1 + -1x * -1)]
54 + 9x = 5[x + (-2 + 1x)]

Reorder the terms:
54 + 9x = 5[-2 + x + 1x]

Combine like terms: x + 1x = 2x
54 + 9x = 5[-2 + 2x]
54 + 9x = [-2 * 5 + 2x * 5]
54 + 9x = [-10 + 10x]

Solving
54 + 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.
54 + 9x + -10x = -10 + 10x + -10x

Combine like terms: 9x + -10x = -1x
54 + -1x = -10 + 10x + -10x

Combine like terms: 10x + -10x = 0
54 + -1x = -10 + 0
54 + -1x = -10

Add '-54' to each side of the equation.
54 + -54 + -1x = -10 + -54

Combine like terms: 54 + -54 = 0
0 + -1x = -10 + -54
-1x = -10 + -54

Combine like terms: -10 + -54 = -64
-1x = -64

Divide each side by '-1'.
x = 64

Simplifying
x = 64

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