(a-4)5=(a+2)3

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Solution for (a-4)5=(a+2)3 equation:


Simplifying
(a + -4) * 5 = (a + 2) * 3

Reorder the terms:
(-4 + a) * 5 = (a + 2) * 3

Reorder the terms for easier multiplication:
5(-4 + a) = (a + 2) * 3
(-4 * 5 + a * 5) = (a + 2) * 3
(-20 + 5a) = (a + 2) * 3

Reorder the terms:
-20 + 5a = (2 + a) * 3

Reorder the terms for easier multiplication:
-20 + 5a = 3(2 + a)
-20 + 5a = (2 * 3 + a * 3)
-20 + 5a = (6 + 3a)

Solving
-20 + 5a = 6 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-20 + 5a + -3a = 6 + 3a + -3a

Combine like terms: 5a + -3a = 2a
-20 + 2a = 6 + 3a + -3a

Combine like terms: 3a + -3a = 0
-20 + 2a = 6 + 0
-20 + 2a = 6

Add '20' to each side of the equation.
-20 + 20 + 2a = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 2a = 6 + 20
2a = 6 + 20

Combine like terms: 6 + 20 = 26
2a = 26

Divide each side by '2'.
a = 13

Simplifying
a = 13

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