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

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

Simplifying
a + -3b + 5c + -1(4a + -8b + c) = 0
a + -3b + 5c + (4a * -1 + -8b * -1 + c * -1) = 0
a + -3b + 5c + (-4a + 8b + -1c) = 0

Reorder the terms:
a + -4a + -3b + 8b + 5c + -1c = 0

Combine like terms: a + -4a = -3a
-3a + -3b + 8b + 5c + -1c = 0

Combine like terms: -3b + 8b = 5b
-3a + 5b + 5c + -1c = 0

Combine like terms: 5c + -1c = 4c
-3a + 5b + 4c = 0

Solving
-3a + 5b + 4c = 0

Solving for variable 'a'.

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

Add '-5b' to each side of the equation.
-3a + 5b + -5b + 4c = 0 + -5b

Combine like terms: 5b + -5b = 0
-3a + 0 + 4c = 0 + -5b
-3a + 4c = 0 + -5b
Remove the zero:
-3a + 4c = -5b

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

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

Divide each side by '-3'.
a = 1.666666667b + 1.333333333c

Simplifying
a = 1.666666667b + 1.333333333c