(4x+5)+(5x+22)=180

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Solution for (4x+5)+(5x+22)=180 equation:


Simplifying
(4x + 5) + (5x + 22) = 180

Reorder the terms:
(5 + 4x) + (5x + 22) = 180

Remove parenthesis around (5 + 4x)
5 + 4x + (5x + 22) = 180

Reorder the terms:
5 + 4x + (22 + 5x) = 180

Remove parenthesis around (22 + 5x)
5 + 4x + 22 + 5x = 180

Reorder the terms:
5 + 22 + 4x + 5x = 180

Combine like terms: 5 + 22 = 27
27 + 4x + 5x = 180

Combine like terms: 4x + 5x = 9x
27 + 9x = 180

Solving
27 + 9x = 180

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + 9x = 180 + -27

Combine like terms: 27 + -27 = 0
0 + 9x = 180 + -27
9x = 180 + -27

Combine like terms: 180 + -27 = 153
9x = 153

Divide each side by '9'.
x = 17

Simplifying
x = 17

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