(3x-42)+(2x+19)=180

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Solution for (3x-42)+(2x+19)=180 equation:


Simplifying
(3x + -42) + (2x + 19) = 180

Reorder the terms:
(-42 + 3x) + (2x + 19) = 180

Remove parenthesis around (-42 + 3x)
-42 + 3x + (2x + 19) = 180

Reorder the terms:
-42 + 3x + (19 + 2x) = 180

Remove parenthesis around (19 + 2x)
-42 + 3x + 19 + 2x = 180

Reorder the terms:
-42 + 19 + 3x + 2x = 180

Combine like terms: -42 + 19 = -23
-23 + 3x + 2x = 180

Combine like terms: 3x + 2x = 5x
-23 + 5x = 180

Solving
-23 + 5x = 180

Solving for variable 'x'.

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

Add '23' to each side of the equation.
-23 + 23 + 5x = 180 + 23

Combine like terms: -23 + 23 = 0
0 + 5x = 180 + 23
5x = 180 + 23

Combine like terms: 180 + 23 = 203
5x = 203

Divide each side by '5'.
x = 40.6

Simplifying
x = 40.6

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