8a-3=13(a-2)

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Solution for 8a-3=13(a-2) equation:


Simplifying
8a + -3 = 13(a + -2)

Reorder the terms:
-3 + 8a = 13(a + -2)

Reorder the terms:
-3 + 8a = 13(-2 + a)
-3 + 8a = (-2 * 13 + a * 13)
-3 + 8a = (-26 + 13a)

Solving
-3 + 8a = -26 + 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.
-3 + 8a + -13a = -26 + 13a + -13a

Combine like terms: 8a + -13a = -5a
-3 + -5a = -26 + 13a + -13a

Combine like terms: 13a + -13a = 0
-3 + -5a = -26 + 0
-3 + -5a = -26

Add '3' to each side of the equation.
-3 + 3 + -5a = -26 + 3

Combine like terms: -3 + 3 = 0
0 + -5a = -26 + 3
-5a = -26 + 3

Combine like terms: -26 + 3 = -23
-5a = -23

Divide each side by '-5'.
a = 4.6

Simplifying
a = 4.6

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