(2a-10b+5c)+(3a-12b-8c)=

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Solution for (2a-10b+5c)+(3a-12b-8c)= equation:


Simplifying
(2a + -10b + 5c) + (3a + -12b + -8c) = 0

Remove parenthesis around (2a + -10b + 5c)
2a + -10b + 5c + (3a + -12b + -8c) = 0

Remove parenthesis around (3a + -12b + -8c)
2a + -10b + 5c + 3a + -12b + -8c = 0

Reorder the terms:
2a + 3a + -10b + -12b + 5c + -8c = 0

Combine like terms: 2a + 3a = 5a
5a + -10b + -12b + 5c + -8c = 0

Combine like terms: -10b + -12b = -22b
5a + -22b + 5c + -8c = 0

Combine like terms: 5c + -8c = -3c
5a + -22b + -3c = 0

Solving
5a + -22b + -3c = 0

Solving for variable 'a'.

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

Add '22b' to each side of the equation.
5a + -22b + 22b + -3c = 0 + 22b

Combine like terms: -22b + 22b = 0
5a + 0 + -3c = 0 + 22b
5a + -3c = 0 + 22b
Remove the zero:
5a + -3c = 22b

Add '3c' to each side of the equation.
5a + -3c + 3c = 22b + 3c

Combine like terms: -3c + 3c = 0
5a + 0 = 22b + 3c
5a = 22b + 3c

Divide each side by '5'.
a = 4.4b + 0.6c

Simplifying
a = 4.4b + 0.6c

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