-4(a-5)=5-a

Solution for -4(a-5)=5-a equation:

Simplifying
-4(a + -5) = 5 + -1a

Reorder the terms:
-4(-5 + a) = 5 + -1a
(-5 * -4 + a * -4) = 5 + -1a
(20 + -4a) = 5 + -1a

Solving
20 + -4a = 5 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
20 + -4a + a = 5 + -1a + a

Combine like terms: -4a + a = -3a
20 + -3a = 5 + -1a + a

Combine like terms: -1a + a = 0
20 + -3a = 5 + 0
20 + -3a = 5

Add '-20' to each side of the equation.
20 + -20 + -3a = 5 + -20

Combine like terms: 20 + -20 = 0
0 + -3a = 5 + -20
-3a = 5 + -20

Combine like terms: 5 + -20 = -15
-3a = -15

Divide each side by '-3'.
a = 5

Simplifying
a = 5