3a+6=5a-2

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Solution for 3a+6=5a-2 equation:


Simplifying
3a + 6 = 5a + -2

Reorder the terms:
6 + 3a = 5a + -2

Reorder the terms:
6 + 3a = -2 + 5a

Solving
6 + 3a = -2 + 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.
6 + 3a + -5a = -2 + 5a + -5a

Combine like terms: 3a + -5a = -2a
6 + -2a = -2 + 5a + -5a

Combine like terms: 5a + -5a = 0
6 + -2a = -2 + 0
6 + -2a = -2

Add '-6' to each side of the equation.
6 + -6 + -2a = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -2a = -2 + -6
-2a = -2 + -6

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

Divide each side by '-2'.
a = 4

Simplifying
a = 4

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