(4x+23)+(5x-24)+19=180

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Solution for (4x+23)+(5x-24)+19=180 equation:


Simplifying
(4x + 23) + (5x + -24) + 19 = 180

Reorder the terms:
(23 + 4x) + (5x + -24) + 19 = 180

Remove parenthesis around (23 + 4x)
23 + 4x + (5x + -24) + 19 = 180

Reorder the terms:
23 + 4x + (-24 + 5x) + 19 = 180

Remove parenthesis around (-24 + 5x)
23 + 4x + -24 + 5x + 19 = 180

Reorder the terms:
23 + -24 + 19 + 4x + 5x = 180

Combine like terms: 23 + -24 = -1
-1 + 19 + 4x + 5x = 180

Combine like terms: -1 + 19 = 18
18 + 4x + 5x = 180

Combine like terms: 4x + 5x = 9x
18 + 9x = 180

Solving
18 + 9x = 180

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 9x = 180 + -18

Combine like terms: 18 + -18 = 0
0 + 9x = 180 + -18
9x = 180 + -18

Combine like terms: 180 + -18 = 162
9x = 162

Divide each side by '9'.
x = 18

Simplifying
x = 18

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