-5(a-b)=a+c

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

Simplifying
-5(a + -1b) = a + c
(a * -5 + -1b * -5) = a + c
(-5a + 5b) = a + c

Solving
-5a + 5b = a + c

Solving for variable 'a'.

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

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

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

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

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

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

Divide each side by '-6'.
a = 0.8333333333b + -0.1666666667c

Simplifying
a = 0.8333333333b + -0.1666666667c