9(x+6)+2=-9(x-3)-3

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Solution for 9(x+6)+2=-9(x-3)-3 equation:


Simplifying
9(x + 6) + 2 = -9(x + -3) + -3

Reorder the terms:
9(6 + x) + 2 = -9(x + -3) + -3
(6 * 9 + x * 9) + 2 = -9(x + -3) + -3
(54 + 9x) + 2 = -9(x + -3) + -3

Reorder the terms:
54 + 2 + 9x = -9(x + -3) + -3

Combine like terms: 54 + 2 = 56
56 + 9x = -9(x + -3) + -3

Reorder the terms:
56 + 9x = -9(-3 + x) + -3
56 + 9x = (-3 * -9 + x * -9) + -3
56 + 9x = (27 + -9x) + -3

Reorder the terms:
56 + 9x = 27 + -3 + -9x

Combine like terms: 27 + -3 = 24
56 + 9x = 24 + -9x

Solving
56 + 9x = 24 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
56 + 9x + 9x = 24 + -9x + 9x

Combine like terms: 9x + 9x = 18x
56 + 18x = 24 + -9x + 9x

Combine like terms: -9x + 9x = 0
56 + 18x = 24 + 0
56 + 18x = 24

Add '-56' to each side of the equation.
56 + -56 + 18x = 24 + -56

Combine like terms: 56 + -56 = 0
0 + 18x = 24 + -56
18x = 24 + -56

Combine like terms: 24 + -56 = -32
18x = -32

Divide each side by '18'.
x = -1.777777778

Simplifying
x = -1.777777778

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