(x+13)+(3x-23)=180

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Solution for (x+13)+(3x-23)=180 equation:


Simplifying
(x + 13) + (3x + -23) = 180

Reorder the terms:
(13 + x) + (3x + -23) = 180

Remove parenthesis around (13 + x)
13 + x + (3x + -23) = 180

Reorder the terms:
13 + x + (-23 + 3x) = 180

Remove parenthesis around (-23 + 3x)
13 + x + -23 + 3x = 180

Reorder the terms:
13 + -23 + x + 3x = 180

Combine like terms: 13 + -23 = -10
-10 + x + 3x = 180

Combine like terms: x + 3x = 4x
-10 + 4x = 180

Solving
-10 + 4x = 180

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 4x = 180 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = 180 + 10
4x = 180 + 10

Combine like terms: 180 + 10 = 190
4x = 190

Divide each side by '4'.
x = 47.5

Simplifying
x = 47.5

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