3a+7=a-5

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Solution for 3a+7=a-5 equation:


Simplifying
3a + 7 = a + -5

Reorder the terms:
7 + 3a = a + -5

Reorder the terms:
7 + 3a = -5 + a

Solving
7 + 3a = -5 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
7 + 3a + -1a = -5 + a + -1a

Combine like terms: 3a + -1a = 2a
7 + 2a = -5 + a + -1a

Combine like terms: a + -1a = 0
7 + 2a = -5 + 0
7 + 2a = -5

Add '-7' to each side of the equation.
7 + -7 + 2a = -5 + -7

Combine like terms: 7 + -7 = 0
0 + 2a = -5 + -7
2a = -5 + -7

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

Divide each side by '2'.
a = -6

Simplifying
a = -6

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