(8a+5b-9)=(3b-5)

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Solution for (8a+5b-9)=(3b-5) equation:


Simplifying
(8a + 5b + -9) = (3b + -5)

Reorder the terms:
(-9 + 8a + 5b) = (3b + -5)

Remove parenthesis around (-9 + 8a + 5b)
-9 + 8a + 5b = (3b + -5)

Reorder the terms:
-9 + 8a + 5b = (-5 + 3b)

Remove parenthesis around (-5 + 3b)
-9 + 8a + 5b = -5 + 3b

Solving
-9 + 8a + 5b = -5 + 3b

Solving for variable 'a'.

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

Add '9' to each side of the equation.
-9 + 8a + 9 + 5b = -5 + 9 + 3b

Reorder the terms:
-9 + 9 + 8a + 5b = -5 + 9 + 3b

Combine like terms: -9 + 9 = 0
0 + 8a + 5b = -5 + 9 + 3b
8a + 5b = -5 + 9 + 3b

Combine like terms: -5 + 9 = 4
8a + 5b = 4 + 3b

Add '-5b' to each side of the equation.
8a + 5b + -5b = 4 + 3b + -5b

Combine like terms: 5b + -5b = 0
8a + 0 = 4 + 3b + -5b
8a = 4 + 3b + -5b

Combine like terms: 3b + -5b = -2b
8a = 4 + -2b

Divide each side by '8'.
a = 0.5 + -0.25b

Simplifying
a = 0.5 + -0.25b

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