(3a-5b+c)-(4a-5b+6c)=

Solution for (3a-5b+c)-(4a-5b+6c)= equation:

Simplifying
(3a + -5b + c) + -1(4a + -5b + 6c) = 0

Remove parenthesis around (3a + -5b + c)
3a + -5b + c + -1(4a + -5b + 6c) = 0
3a + -5b + c + (4a * -1 + -5b * -1 + 6c * -1) = 0
3a + -5b + c + (-4a + 5b + -6c) = 0

Reorder the terms:
3a + -4a + -5b + 5b + c + -6c = 0

Combine like terms: 3a + -4a = -1a
-1a + -5b + 5b + c + -6c = 0

Combine like terms: -5b + 5b = 0
-1a + 0 + c + -6c = 0
-1a + c + -6c = 0

Combine like terms: c + -6c = -5c
-1a + -5c = 0

Solving
-1a + -5c = 0

Solving for variable 'a'.

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

Add '5c' to each side of the equation.
-1a + -5c + 5c = 0 + 5c

Combine like terms: -5c + 5c = 0
-1a + 0 = 0 + 5c
-1a = 0 + 5c
Remove the zero:
-1a = 5c

Divide each side by '-1'.
a = -5c

Simplifying
a = -5c