4(a-5)=a+1

Solution for 4(a-5)=a+1 equation:

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

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

Reorder the terms:
-20 + 4a = 1 + a

Solving
-20 + 4a = 1 + a

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.
-20 + 4a + -1a = 1 + a + -1a

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

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

Add '20' to each side of the equation.
-20 + 20 + 3a = 1 + 20

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

Combine like terms: 1 + 20 = 21
3a = 21

Divide each side by '3'.
a = 7

Simplifying
a = 7