10-3a=5a-6

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Solution for 10-3a=5a-6 equation:


Simplifying
10 + -3a = 5a + -6

Reorder the terms:
10 + -3a = -6 + 5a

Solving
10 + -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.
10 + -3a + -5a = -6 + 5a + -5a

Combine like terms: -3a + -5a = -8a
10 + -8a = -6 + 5a + -5a

Combine like terms: 5a + -5a = 0
10 + -8a = -6 + 0
10 + -8a = -6

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

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

Combine like terms: -6 + -10 = -16
-8a = -16

Divide each side by '-8'.
a = 2

Simplifying
a = 2

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