2a-8=-5a+13

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Solution for 2a-8=-5a+13 equation:


Simplifying
2a + -8 = -5a + 13

Reorder the terms:
-8 + 2a = -5a + 13

Reorder the terms:
-8 + 2a = 13 + -5a

Solving
-8 + 2a = 13 + -5a

Solving for variable 'a'.

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

Add '5a' to each side of the equation.
-8 + 2a + 5a = 13 + -5a + 5a

Combine like terms: 2a + 5a = 7a
-8 + 7a = 13 + -5a + 5a

Combine like terms: -5a + 5a = 0
-8 + 7a = 13 + 0
-8 + 7a = 13

Add '8' to each side of the equation.
-8 + 8 + 7a = 13 + 8

Combine like terms: -8 + 8 = 0
0 + 7a = 13 + 8
7a = 13 + 8

Combine like terms: 13 + 8 = 21
7a = 21

Divide each side by '7'.
a = 3

Simplifying
a = 3

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