3a-6a+2=8a+20-5a

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Solution for 3a-6a+2=8a+20-5a equation:


Simplifying
3a + -6a + 2 = 8a + 20 + -5a

Reorder the terms:
2 + 3a + -6a = 8a + 20 + -5a

Combine like terms: 3a + -6a = -3a
2 + -3a = 8a + 20 + -5a

Reorder the terms:
2 + -3a = 20 + 8a + -5a

Combine like terms: 8a + -5a = 3a
2 + -3a = 20 + 3a

Solving
2 + -3a = 20 + 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 + -3a + -3a = 20 + 3a + -3a

Combine like terms: -3a + -3a = -6a
2 + -6a = 20 + 3a + -3a

Combine like terms: 3a + -3a = 0
2 + -6a = 20 + 0
2 + -6a = 20

Add '-2' to each side of the equation.
2 + -2 + -6a = 20 + -2

Combine like terms: 2 + -2 = 0
0 + -6a = 20 + -2
-6a = 20 + -2

Combine like terms: 20 + -2 = 18
-6a = 18

Divide each side by '-6'.
a = -3

Simplifying
a = -3

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