(5x+23)+(13x-47)=180

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Solution for (5x+23)+(13x-47)=180 equation:


Simplifying
(5x + 23) + (13x + -47) = 180

Reorder the terms:
(23 + 5x) + (13x + -47) = 180

Remove parenthesis around (23 + 5x)
23 + 5x + (13x + -47) = 180

Reorder the terms:
23 + 5x + (-47 + 13x) = 180

Remove parenthesis around (-47 + 13x)
23 + 5x + -47 + 13x = 180

Reorder the terms:
23 + -47 + 5x + 13x = 180

Combine like terms: 23 + -47 = -24
-24 + 5x + 13x = 180

Combine like terms: 5x + 13x = 18x
-24 + 18x = 180

Solving
-24 + 18x = 180

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 18x = 180 + 24

Combine like terms: -24 + 24 = 0
0 + 18x = 180 + 24
18x = 180 + 24

Combine like terms: 180 + 24 = 204
18x = 204

Divide each side by '18'.
x = 11.33333333

Simplifying
x = 11.33333333

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