(2x+15)+(5x-38)=180

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Solution for (2x+15)+(5x-38)=180 equation:


Simplifying
(2x + 15) + (5x + -38) = 180

Reorder the terms:
(15 + 2x) + (5x + -38) = 180

Remove parenthesis around (15 + 2x)
15 + 2x + (5x + -38) = 180

Reorder the terms:
15 + 2x + (-38 + 5x) = 180

Remove parenthesis around (-38 + 5x)
15 + 2x + -38 + 5x = 180

Reorder the terms:
15 + -38 + 2x + 5x = 180

Combine like terms: 15 + -38 = -23
-23 + 2x + 5x = 180

Combine like terms: 2x + 5x = 7x
-23 + 7x = 180

Solving
-23 + 7x = 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 + 7x = 180 + 23

Combine like terms: -23 + 23 = 0
0 + 7x = 180 + 23
7x = 180 + 23

Combine like terms: 180 + 23 = 203
7x = 203

Divide each side by '7'.
x = 29

Simplifying
x = 29

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