(8a+2b-4)=(3b-5)

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Solution for (8a+2b-4)=(3b-5) equation:


Simplifying
(8a + 2b + -4) = (3b + -5)

Reorder the terms:
(-4 + 8a + 2b) = (3b + -5)

Remove parenthesis around (-4 + 8a + 2b)
-4 + 8a + 2b = (3b + -5)

Reorder the terms:
-4 + 8a + 2b = (-5 + 3b)

Remove parenthesis around (-5 + 3b)
-4 + 8a + 2b = -5 + 3b

Solving
-4 + 8a + 2b = -5 + 3b

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + 8a + 4 + 2b = -5 + 4 + 3b

Reorder the terms:
-4 + 4 + 8a + 2b = -5 + 4 + 3b

Combine like terms: -4 + 4 = 0
0 + 8a + 2b = -5 + 4 + 3b
8a + 2b = -5 + 4 + 3b

Combine like terms: -5 + 4 = -1
8a + 2b = -1 + 3b

Add '-2b' to each side of the equation.
8a + 2b + -2b = -1 + 3b + -2b

Combine like terms: 2b + -2b = 0
8a + 0 = -1 + 3b + -2b
8a = -1 + 3b + -2b

Combine like terms: 3b + -2b = 1b
8a = -1 + 1b

Divide each side by '8'.
a = -0.125 + 0.125b

Simplifying
a = -0.125 + 0.125b

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