5a-3=2a-12

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Solution for 5a-3=2a-12 equation:


Simplifying
5a + -3 = 2a + -12

Reorder the terms:
-3 + 5a = 2a + -12

Reorder the terms:
-3 + 5a = -12 + 2a

Solving
-3 + 5a = -12 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-3 + 5a + -2a = -12 + 2a + -2a

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

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

Add '3' to each side of the equation.
-3 + 3 + 3a = -12 + 3

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

Combine like terms: -12 + 3 = -9
3a = -9

Divide each side by '3'.
a = -3

Simplifying
a = -3

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