5a+2=a-13

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


Simplifying
5a + 2 = a + -13

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

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

Solving
2 + 5a = -13 + 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.
2 + 5a + -1a = -13 + a + -1a

Combine like terms: 5a + -1a = 4a
2 + 4a = -13 + a + -1a

Combine like terms: a + -1a = 0
2 + 4a = -13 + 0
2 + 4a = -13

Add '-2' to each side of the equation.
2 + -2 + 4a = -13 + -2

Combine like terms: 2 + -2 = 0
0 + 4a = -13 + -2
4a = -13 + -2

Combine like terms: -13 + -2 = -15
4a = -15

Divide each side by '4'.
a = -3.75

Simplifying
a = -3.75

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