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

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


Simplifying
(4a + 5b + -8) + (2a + 3b + 3) = 0

Reorder the terms:
(-8 + 4a + 5b) + (2a + 3b + 3) = 0

Remove parenthesis around (-8 + 4a + 5b)
-8 + 4a + 5b + (2a + 3b + 3) = 0

Reorder the terms:
-8 + 4a + 5b + (3 + 2a + 3b) = 0

Remove parenthesis around (3 + 2a + 3b)
-8 + 4a + 5b + 3 + 2a + 3b = 0

Reorder the terms:
-8 + 3 + 4a + 2a + 5b + 3b = 0

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

Combine like terms: 4a + 2a = 6a
-5 + 6a + 5b + 3b = 0

Combine like terms: 5b + 3b = 8b
-5 + 6a + 8b = 0

Solving
-5 + 6a + 8b = 0

Solving for variable 'a'.

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

Add '5' to each side of the equation.
-5 + 6a + 5 + 8b = 0 + 5

Reorder the terms:
-5 + 5 + 6a + 8b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 6a + 8b = 0 + 5
6a + 8b = 0 + 5

Combine like terms: 0 + 5 = 5
6a + 8b = 5

Add '-8b' to each side of the equation.
6a + 8b + -8b = 5 + -8b

Combine like terms: 8b + -8b = 0
6a + 0 = 5 + -8b
6a = 5 + -8b

Divide each side by '6'.
a = 0.8333333333 + -1.333333333b

Simplifying
a = 0.8333333333 + -1.333333333b

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