6a-2=5a+10

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Solution for 6a-2=5a+10 equation:


Simplifying
6a + -2 = 5a + 10

Reorder the terms:
-2 + 6a = 5a + 10

Reorder the terms:
-2 + 6a = 10 + 5a

Solving
-2 + 6a = 10 + 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.
-2 + 6a + -5a = 10 + 5a + -5a

Combine like terms: 6a + -5a = 1a
-2 + 1a = 10 + 5a + -5a

Combine like terms: 5a + -5a = 0
-2 + 1a = 10 + 0
-2 + 1a = 10

Add '2' to each side of the equation.
-2 + 2 + 1a = 10 + 2

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

Combine like terms: 10 + 2 = 12
1a = 12

Divide each side by '1'.
a = 12

Simplifying
a = 12

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