(2x+5)+(3x-45)=180

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Solution for (2x+5)+(3x-45)=180 equation:


Simplifying
(2x + 5) + (3x + -45) = 180

Reorder the terms:
(5 + 2x) + (3x + -45) = 180

Remove parenthesis around (5 + 2x)
5 + 2x + (3x + -45) = 180

Reorder the terms:
5 + 2x + (-45 + 3x) = 180

Remove parenthesis around (-45 + 3x)
5 + 2x + -45 + 3x = 180

Reorder the terms:
5 + -45 + 2x + 3x = 180

Combine like terms: 5 + -45 = -40
-40 + 2x + 3x = 180

Combine like terms: 2x + 3x = 5x
-40 + 5x = 180

Solving
-40 + 5x = 180

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 40 + 5x = 180 + 40

Combine like terms: -40 + 40 = 0
0 + 5x = 180 + 40
5x = 180 + 40

Combine like terms: 180 + 40 = 220
5x = 220

Divide each side by '5'.
x = 44

Simplifying
x = 44

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