5a-5=13(a-5)

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Solution for 5a-5=13(a-5) equation:


Simplifying
5a + -5 = 13(a + -5)

Reorder the terms:
-5 + 5a = 13(a + -5)

Reorder the terms:
-5 + 5a = 13(-5 + a)
-5 + 5a = (-5 * 13 + a * 13)
-5 + 5a = (-65 + 13a)

Solving
-5 + 5a = -65 + 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.
-5 + 5a + -13a = -65 + 13a + -13a

Combine like terms: 5a + -13a = -8a
-5 + -8a = -65 + 13a + -13a

Combine like terms: 13a + -13a = 0
-5 + -8a = -65 + 0
-5 + -8a = -65

Add '5' to each side of the equation.
-5 + 5 + -8a = -65 + 5

Combine like terms: -5 + 5 = 0
0 + -8a = -65 + 5
-8a = -65 + 5

Combine like terms: -65 + 5 = -60
-8a = -60

Divide each side by '-8'.
a = 7.5

Simplifying
a = 7.5

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