12(8-x)+12(9-x)=5(x+9)

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Solution for 12(8-x)+12(9-x)=5(x+9) equation:


Simplifying
12(8 + -1x) + 12(9 + -1x) = 5(x + 9)
(8 * 12 + -1x * 12) + 12(9 + -1x) = 5(x + 9)
(96 + -12x) + 12(9 + -1x) = 5(x + 9)
96 + -12x + (9 * 12 + -1x * 12) = 5(x + 9)
96 + -12x + (108 + -12x) = 5(x + 9)

Reorder the terms:
96 + 108 + -12x + -12x = 5(x + 9)

Combine like terms: 96 + 108 = 204
204 + -12x + -12x = 5(x + 9)

Combine like terms: -12x + -12x = -24x
204 + -24x = 5(x + 9)

Reorder the terms:
204 + -24x = 5(9 + x)
204 + -24x = (9 * 5 + x * 5)
204 + -24x = (45 + 5x)

Solving
204 + -24x = 45 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
204 + -24x + -5x = 45 + 5x + -5x

Combine like terms: -24x + -5x = -29x
204 + -29x = 45 + 5x + -5x

Combine like terms: 5x + -5x = 0
204 + -29x = 45 + 0
204 + -29x = 45

Add '-204' to each side of the equation.
204 + -204 + -29x = 45 + -204

Combine like terms: 204 + -204 = 0
0 + -29x = 45 + -204
-29x = 45 + -204

Combine like terms: 45 + -204 = -159
-29x = -159

Divide each side by '-29'.
x = 5.482758621

Simplifying
x = 5.482758621

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