5a+12=2a-20

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Solution for 5a+12=2a-20 equation:


Simplifying
5a + 12 = 2a + -20

Reorder the terms:
12 + 5a = 2a + -20

Reorder the terms:
12 + 5a = -20 + 2a

Solving
12 + 5a = -20 + 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.
12 + 5a + -2a = -20 + 2a + -2a

Combine like terms: 5a + -2a = 3a
12 + 3a = -20 + 2a + -2a

Combine like terms: 2a + -2a = 0
12 + 3a = -20 + 0
12 + 3a = -20

Add '-12' to each side of the equation.
12 + -12 + 3a = -20 + -12

Combine like terms: 12 + -12 = 0
0 + 3a = -20 + -12
3a = -20 + -12

Combine like terms: -20 + -12 = -32
3a = -32

Divide each side by '3'.
a = -10.66666667

Simplifying
a = -10.66666667

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