3a+2=5a-6

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


Simplifying
3a + 2 = 5a + -6

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

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

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

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

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

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

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

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

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

Simplifying
a = 4

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