9(x+8)+2=-9(x-4)-4

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Solution for 9(x+8)+2=-9(x-4)-4 equation:


Simplifying
9(x + 8) + 2 = -9(x + -4) + -4

Reorder the terms:
9(8 + x) + 2 = -9(x + -4) + -4
(8 * 9 + x * 9) + 2 = -9(x + -4) + -4
(72 + 9x) + 2 = -9(x + -4) + -4

Reorder the terms:
72 + 2 + 9x = -9(x + -4) + -4

Combine like terms: 72 + 2 = 74
74 + 9x = -9(x + -4) + -4

Reorder the terms:
74 + 9x = -9(-4 + x) + -4
74 + 9x = (-4 * -9 + x * -9) + -4
74 + 9x = (36 + -9x) + -4

Reorder the terms:
74 + 9x = 36 + -4 + -9x

Combine like terms: 36 + -4 = 32
74 + 9x = 32 + -9x

Solving
74 + 9x = 32 + -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.
74 + 9x + 9x = 32 + -9x + 9x

Combine like terms: 9x + 9x = 18x
74 + 18x = 32 + -9x + 9x

Combine like terms: -9x + 9x = 0
74 + 18x = 32 + 0
74 + 18x = 32

Add '-74' to each side of the equation.
74 + -74 + 18x = 32 + -74

Combine like terms: 74 + -74 = 0
0 + 18x = 32 + -74
18x = 32 + -74

Combine like terms: 32 + -74 = -42
18x = -42

Divide each side by '18'.
x = -2.333333333

Simplifying
x = -2.333333333

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