3a+15=13a-5

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Solution for 3a+15=13a-5 equation:


Simplifying
3a + 15 = 13a + -5

Reorder the terms:
15 + 3a = 13a + -5

Reorder the terms:
15 + 3a = -5 + 13a

Solving
15 + 3a = -5 + 13a

Solving for variable 'a'.

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

Add '-13a' to each side of the equation.
15 + 3a + -13a = -5 + 13a + -13a

Combine like terms: 3a + -13a = -10a
15 + -10a = -5 + 13a + -13a

Combine like terms: 13a + -13a = 0
15 + -10a = -5 + 0
15 + -10a = -5

Add '-15' to each side of the equation.
15 + -15 + -10a = -5 + -15

Combine like terms: 15 + -15 = 0
0 + -10a = -5 + -15
-10a = -5 + -15

Combine like terms: -5 + -15 = -20
-10a = -20

Divide each side by '-10'.
a = 2

Simplifying
a = 2

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