3a+5=5a-13

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


Simplifying
3a + 5 = 5a + -13

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

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

Solving
5 + 3a = -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.
5 + 3a + -5a = -13 + 5a + -5a

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

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

Add '-5' to each side of the equation.
5 + -5 + -2a = -13 + -5

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

Combine like terms: -13 + -5 = -18
-2a = -18

Divide each side by '-2'.
a = 9

Simplifying
a = 9

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