(3x-38)+(2x+10)=180

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Solution for (3x-38)+(2x+10)=180 equation:


Simplifying
(3x + -38) + (2x + 10) = 180

Reorder the terms:
(-38 + 3x) + (2x + 10) = 180

Remove parenthesis around (-38 + 3x)
-38 + 3x + (2x + 10) = 180

Reorder the terms:
-38 + 3x + (10 + 2x) = 180

Remove parenthesis around (10 + 2x)
-38 + 3x + 10 + 2x = 180

Reorder the terms:
-38 + 10 + 3x + 2x = 180

Combine like terms: -38 + 10 = -28
-28 + 3x + 2x = 180

Combine like terms: 3x + 2x = 5x
-28 + 5x = 180

Solving
-28 + 5x = 180

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 5x = 180 + 28

Combine like terms: -28 + 28 = 0
0 + 5x = 180 + 28
5x = 180 + 28

Combine like terms: 180 + 28 = 208
5x = 208

Divide each side by '5'.
x = 41.6

Simplifying
x = 41.6

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