10-5a=a-8

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Solution for 10-5a=a-8 equation:


Simplifying
10 + -5a = a + -8

Reorder the terms:
10 + -5a = -8 + a

Solving
10 + -5a = -8 + a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1a' to each side of the equation.
10 + -5a + -1a = -8 + a + -1a

Combine like terms: -5a + -1a = -6a
10 + -6a = -8 + a + -1a

Combine like terms: a + -1a = 0
10 + -6a = -8 + 0
10 + -6a = -8

Add '-10' to each side of the equation.
10 + -10 + -6a = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -6a = -8 + -10
-6a = -8 + -10

Combine like terms: -8 + -10 = -18
-6a = -18

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

Simplifying
a = 3

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