(2x-5)+(3x-50)=180

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Solution for (2x-5)+(3x-50)=180 equation:


Simplifying
(2x + -5) + (3x + -50) = 180

Reorder the terms:
(-5 + 2x) + (3x + -50) = 180

Remove parenthesis around (-5 + 2x)
-5 + 2x + (3x + -50) = 180

Reorder the terms:
-5 + 2x + (-50 + 3x) = 180

Remove parenthesis around (-50 + 3x)
-5 + 2x + -50 + 3x = 180

Reorder the terms:
-5 + -50 + 2x + 3x = 180

Combine like terms: -5 + -50 = -55
-55 + 2x + 3x = 180

Combine like terms: 2x + 3x = 5x
-55 + 5x = 180

Solving
-55 + 5x = 180

Solving for variable 'x'.

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

Add '55' to each side of the equation.
-55 + 55 + 5x = 180 + 55

Combine like terms: -55 + 55 = 0
0 + 5x = 180 + 55
5x = 180 + 55

Combine like terms: 180 + 55 = 235
5x = 235

Divide each side by '5'.
x = 47

Simplifying
x = 47

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