8a+2=5a-13

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Solution for 8a+2=5a-13 equation:


Simplifying
8a + 2 = 5a + -13

Reorder the terms:
2 + 8a = 5a + -13

Reorder the terms:
2 + 8a = -13 + 5a

Solving
2 + 8a = -13 + 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.
2 + 8a + -5a = -13 + 5a + -5a

Combine like terms: 8a + -5a = 3a
2 + 3a = -13 + 5a + -5a

Combine like terms: 5a + -5a = 0
2 + 3a = -13 + 0
2 + 3a = -13

Add '-2' to each side of the equation.
2 + -2 + 3a = -13 + -2

Combine like terms: 2 + -2 = 0
0 + 3a = -13 + -2
3a = -13 + -2

Combine like terms: -13 + -2 = -15
3a = -15

Divide each side by '3'.
a = -5

Simplifying
a = -5

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