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 = 4a
4a + -5b = a + -1a + c

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

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

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

Divide each side by '4'.
a = 1.25b + 0.25c

Simplifying
a = 1.25b + 0.25c