5a-13=43-2a

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Solution for 5a-13=43-2a equation:


Simplifying
5a + -13 = 43 + -2a

Reorder the terms:
-13 + 5a = 43 + -2a

Solving
-13 + 5a = 43 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
-13 + 5a + 2a = 43 + -2a + 2a

Combine like terms: 5a + 2a = 7a
-13 + 7a = 43 + -2a + 2a

Combine like terms: -2a + 2a = 0
-13 + 7a = 43 + 0
-13 + 7a = 43

Add '13' to each side of the equation.
-13 + 13 + 7a = 43 + 13

Combine like terms: -13 + 13 = 0
0 + 7a = 43 + 13
7a = 43 + 13

Combine like terms: 43 + 13 = 56
7a = 56

Divide each side by '7'.
a = 8

Simplifying
a = 8

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