(21x-2)+(38x+5)=180

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Solution for (21x-2)+(38x+5)=180 equation:


Simplifying
(21x + -2) + (38x + 5) = 180

Reorder the terms:
(-2 + 21x) + (38x + 5) = 180

Remove parenthesis around (-2 + 21x)
-2 + 21x + (38x + 5) = 180

Reorder the terms:
-2 + 21x + (5 + 38x) = 180

Remove parenthesis around (5 + 38x)
-2 + 21x + 5 + 38x = 180

Reorder the terms:
-2 + 5 + 21x + 38x = 180

Combine like terms: -2 + 5 = 3
3 + 21x + 38x = 180

Combine like terms: 21x + 38x = 59x
3 + 59x = 180

Solving
3 + 59x = 180

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 59x = 180 + -3

Combine like terms: 3 + -3 = 0
0 + 59x = 180 + -3
59x = 180 + -3

Combine like terms: 180 + -3 = 177
59x = 177

Divide each side by '59'.
x = 3

Simplifying
x = 3

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