2a+2=3a-12

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Solution for 2a+2=3a-12 equation:


Simplifying
2a + 2 = 3a + -12

Reorder the terms:
2 + 2a = 3a + -12

Reorder the terms:
2 + 2a = -12 + 3a

Solving
2 + 2a = -12 + 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.
2 + 2a + -3a = -12 + 3a + -3a

Combine like terms: 2a + -3a = -1a
2 + -1a = -12 + 3a + -3a

Combine like terms: 3a + -3a = 0
2 + -1a = -12 + 0
2 + -1a = -12

Add '-2' to each side of the equation.
2 + -2 + -1a = -12 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = -12 + -2
-1a = -12 + -2

Combine like terms: -12 + -2 = -14
-1a = -14

Divide each side by '-1'.
a = 14

Simplifying
a = 14

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