5a-81=3a-41

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Solution for 5a-81=3a-41 equation:


Simplifying
5a + -81 = 3a + -41

Reorder the terms:
-81 + 5a = 3a + -41

Reorder the terms:
-81 + 5a = -41 + 3a

Solving
-81 + 5a = -41 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-81 + 5a + -3a = -41 + 3a + -3a

Combine like terms: 5a + -3a = 2a
-81 + 2a = -41 + 3a + -3a

Combine like terms: 3a + -3a = 0
-81 + 2a = -41 + 0
-81 + 2a = -41

Add '81' to each side of the equation.
-81 + 81 + 2a = -41 + 81

Combine like terms: -81 + 81 = 0
0 + 2a = -41 + 81
2a = -41 + 81

Combine like terms: -41 + 81 = 40
2a = 40

Divide each side by '2'.
a = 20

Simplifying
a = 20

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