5a+8=a-6

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Solution for 5a+8=a-6 equation:


Simplifying
5a + 8 = a + -6

Reorder the terms:
8 + 5a = a + -6

Reorder the terms:
8 + 5a = -6 + a

Solving
8 + 5a = -6 + 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.
8 + 5a + -1a = -6 + a + -1a

Combine like terms: 5a + -1a = 4a
8 + 4a = -6 + a + -1a

Combine like terms: a + -1a = 0
8 + 4a = -6 + 0
8 + 4a = -6

Add '-8' to each side of the equation.
8 + -8 + 4a = -6 + -8

Combine like terms: 8 + -8 = 0
0 + 4a = -6 + -8
4a = -6 + -8

Combine like terms: -6 + -8 = -14
4a = -14

Divide each side by '4'.
a = -3.5

Simplifying
a = -3.5

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