(24x-23)+(12x-13)+(12x-13)+11y=360

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Solution for (24x-23)+(12x-13)+(12x-13)+11y=360 equation:


Simplifying
(24x + -23) + (12x + -13) + (12x + -13) + 11y = 360

Reorder the terms:
(-23 + 24x) + (12x + -13) + (12x + -13) + 11y = 360

Remove parenthesis around (-23 + 24x)
-23 + 24x + (12x + -13) + (12x + -13) + 11y = 360

Reorder the terms:
-23 + 24x + (-13 + 12x) + (12x + -13) + 11y = 360

Remove parenthesis around (-13 + 12x)
-23 + 24x + -13 + 12x + (12x + -13) + 11y = 360

Reorder the terms:
-23 + 24x + -13 + 12x + (-13 + 12x) + 11y = 360

Remove parenthesis around (-13 + 12x)
-23 + 24x + -13 + 12x + -13 + 12x + 11y = 360

Reorder the terms:
-23 + -13 + -13 + 24x + 12x + 12x + 11y = 360

Combine like terms: -23 + -13 = -36
-36 + -13 + 24x + 12x + 12x + 11y = 360

Combine like terms: -36 + -13 = -49
-49 + 24x + 12x + 12x + 11y = 360

Combine like terms: 24x + 12x = 36x
-49 + 36x + 12x + 11y = 360

Combine like terms: 36x + 12x = 48x
-49 + 48x + 11y = 360

Solving
-49 + 48x + 11y = 360

Solving for variable 'x'.

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

Add '49' to each side of the equation.
-49 + 48x + 49 + 11y = 360 + 49

Reorder the terms:
-49 + 49 + 48x + 11y = 360 + 49

Combine like terms: -49 + 49 = 0
0 + 48x + 11y = 360 + 49
48x + 11y = 360 + 49

Combine like terms: 360 + 49 = 409
48x + 11y = 409

Add '-11y' to each side of the equation.
48x + 11y + -11y = 409 + -11y

Combine like terms: 11y + -11y = 0
48x + 0 = 409 + -11y
48x = 409 + -11y

Divide each side by '48'.
x = 8.520833333 + -0.2291666667y

Simplifying
x = 8.520833333 + -0.2291666667y

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