5a-2=3a-8

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Solution for 5a-2=3a-8 equation:


Simplifying
5a + -2 = 3a + -8

Reorder the terms:
-2 + 5a = 3a + -8

Reorder the terms:
-2 + 5a = -8 + 3a

Solving
-2 + 5a = -8 + 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.
-2 + 5a + -3a = -8 + 3a + -3a

Combine like terms: 5a + -3a = 2a
-2 + 2a = -8 + 3a + -3a

Combine like terms: 3a + -3a = 0
-2 + 2a = -8 + 0
-2 + 2a = -8

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

Combine like terms: -2 + 2 = 0
0 + 2a = -8 + 2
2a = -8 + 2

Combine like terms: -8 + 2 = -6
2a = -6

Divide each side by '2'.
a = -3

Simplifying
a = -3

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