5a+2a-12=3a+52

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Solution for 5a+2a-12=3a+52 equation:


Simplifying
5a + 2a + -12 = 3a + 52

Reorder the terms:
-12 + 5a + 2a = 3a + 52

Combine like terms: 5a + 2a = 7a
-12 + 7a = 3a + 52

Reorder the terms:
-12 + 7a = 52 + 3a

Solving
-12 + 7a = 52 + 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 + 7a + -3a = 52 + 3a + -3a

Combine like terms: 7a + -3a = 4a
-12 + 4a = 52 + 3a + -3a

Combine like terms: 3a + -3a = 0
-12 + 4a = 52 + 0
-12 + 4a = 52

Add '12' to each side of the equation.
-12 + 12 + 4a = 52 + 12

Combine like terms: -12 + 12 = 0
0 + 4a = 52 + 12
4a = 52 + 12

Combine like terms: 52 + 12 = 64
4a = 64

Divide each side by '4'.
a = 16

Simplifying
a = 16

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