3a-2=5a+8

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


Simplifying
3a + -2 = 5a + 8

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

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

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

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

Combine like terms: 5a + -5a = 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 = 10
-2a = 10

Divide each side by '-2'.
a = -5

Simplifying
a = -5

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