3(2x+8)=9(x-4)-9

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Solution for 3(2x+8)=9(x-4)-9 equation:


Simplifying
3(2x + 8) = 9(x + -4) + -9

Reorder the terms:
3(8 + 2x) = 9(x + -4) + -9
(8 * 3 + 2x * 3) = 9(x + -4) + -9
(24 + 6x) = 9(x + -4) + -9

Reorder the terms:
24 + 6x = 9(-4 + x) + -9
24 + 6x = (-4 * 9 + x * 9) + -9
24 + 6x = (-36 + 9x) + -9

Reorder the terms:
24 + 6x = -36 + -9 + 9x

Combine like terms: -36 + -9 = -45
24 + 6x = -45 + 9x

Solving
24 + 6x = -45 + 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.
24 + 6x + -9x = -45 + 9x + -9x

Combine like terms: 6x + -9x = -3x
24 + -3x = -45 + 9x + -9x

Combine like terms: 9x + -9x = 0
24 + -3x = -45 + 0
24 + -3x = -45

Add '-24' to each side of the equation.
24 + -24 + -3x = -45 + -24

Combine like terms: 24 + -24 = 0
0 + -3x = -45 + -24
-3x = -45 + -24

Combine like terms: -45 + -24 = -69
-3x = -69

Divide each side by '-3'.
x = 23

Simplifying
x = 23

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