2a+8=5a-6

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Solution for 2a+8=5a-6 equation:


Simplifying
2a + 8 = 5a + -6

Reorder the terms:
8 + 2a = 5a + -6

Reorder the terms:
8 + 2a = -6 + 5a

Solving
8 + 2a = -6 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
8 + 2a + -5a = -6 + 5a + -5a

Combine like terms: 2a + -5a = -3a
8 + -3a = -6 + 5a + -5a

Combine like terms: 5a + -5a = 0
8 + -3a = -6 + 0
8 + -3a = -6

Add '-8' to each side of the equation.
8 + -8 + -3a = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -3a = -6 + -8
-3a = -6 + -8

Combine like terms: -6 + -8 = -14
-3a = -14

Divide each side by '-3'.
a = 4.666666667

Simplifying
a = 4.666666667

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