2a+6=6a-10

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


Simplifying
2a + 6 = 6a + -10

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

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

Solving
6 + 2a = -10 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
6 + 2a + -6a = -10 + 6a + -6a

Combine like terms: 2a + -6a = -4a
6 + -4a = -10 + 6a + -6a

Combine like terms: 6a + -6a = 0
6 + -4a = -10 + 0
6 + -4a = -10

Add '-6' to each side of the equation.
6 + -6 + -4a = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -4a = -10 + -6
-4a = -10 + -6

Combine like terms: -10 + -6 = -16
-4a = -16

Divide each side by '-4'.
a = 4

Simplifying
a = 4

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