2a+10=3a-6

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Solution for 2a+10=3a-6 equation:


Simplifying
2a + 10 = 3a + -6

Reorder the terms:
10 + 2a = 3a + -6

Reorder the terms:
10 + 2a = -6 + 3a

Solving
10 + 2a = -6 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
10 + 2a + -3a = -6 + 3a + -3a

Combine like terms: 2a + -3a = -1a
10 + -1a = -6 + 3a + -3a

Combine like terms: 3a + -3a = 0
10 + -1a = -6 + 0
10 + -1a = -6

Add '-10' to each side of the equation.
10 + -10 + -1a = -6 + -10

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

Combine like terms: -6 + -10 = -16
-1a = -16

Divide each side by '-1'.
a = 16

Simplifying
a = 16

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