(3a-2)=(a+10)

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Solution for (3a-2)=(a+10) equation:


Simplifying
(3a + -2) = (a + 10)

Reorder the terms:
(-2 + 3a) = (a + 10)

Remove parenthesis around (-2 + 3a)
-2 + 3a = (a + 10)

Reorder the terms:
-2 + 3a = (10 + a)

Remove parenthesis around (10 + a)
-2 + 3a = 10 + a

Solving
-2 + 3a = 10 + 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.
-2 + 3a + -1a = 10 + a + -1a

Combine like terms: 3a + -1a = 2a
-2 + 2a = 10 + a + -1a

Combine like terms: a + -1a = 0
-2 + 2a = 10 + 0
-2 + 2a = 10

Add '2' to each side of the equation.
-2 + 2 + 2a = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 2a = 10 + 2
2a = 10 + 2

Combine like terms: 10 + 2 = 12
2a = 12

Divide each side by '2'.
a = 6

Simplifying
a = 6

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