(5x-18)+(4x+45)=180

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Solution for (5x-18)+(4x+45)=180 equation:


Simplifying
(5x + -18) + (4x + 45) = 180

Reorder the terms:
(-18 + 5x) + (4x + 45) = 180

Remove parenthesis around (-18 + 5x)
-18 + 5x + (4x + 45) = 180

Reorder the terms:
-18 + 5x + (45 + 4x) = 180

Remove parenthesis around (45 + 4x)
-18 + 5x + 45 + 4x = 180

Reorder the terms:
-18 + 45 + 5x + 4x = 180

Combine like terms: -18 + 45 = 27
27 + 5x + 4x = 180

Combine like terms: 5x + 4x = 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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