3a-8=5a-6

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Solution for 3a-8=5a-6 equation:


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

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

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

Solving
-8 + 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.
-8 + 3a + -5a = -6 + 5a + -5a

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

Combine like terms: 5a + -5a = 0
-8 + -2a = -6 + 0
-8 + -2a = -6

Add '8' to each side of the equation.
-8 + 8 + -2a = -6 + 8

Combine like terms: -8 + 8 = 0
0 + -2a = -6 + 8
-2a = -6 + 8

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

Divide each side by '-2'.
a = -1

Simplifying
a = -1

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