a-12=17-22+3a

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Solution for a-12=17-22+3a equation:


Simplifying
a + -12 = 17 + -22 + 3a

Reorder the terms:
-12 + a = 17 + -22 + 3a

Combine like terms: 17 + -22 = -5
-12 + a = -5 + 3a

Solving
-12 + a = -5 + 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.
-12 + a + -3a = -5 + 3a + -3a

Combine like terms: a + -3a = -2a
-12 + -2a = -5 + 3a + -3a

Combine like terms: 3a + -3a = 0
-12 + -2a = -5 + 0
-12 + -2a = -5

Add '12' to each side of the equation.
-12 + 12 + -2a = -5 + 12

Combine like terms: -12 + 12 = 0
0 + -2a = -5 + 12
-2a = -5 + 12

Combine like terms: -5 + 12 = 7
-2a = 7

Divide each side by '-2'.
a = -3.5

Simplifying
a = -3.5

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