5(a+1)-4a=1

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

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

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

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

Solving
5 + 1a = 1

Solving for variable 'a'.

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

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

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

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

Divide each side by '1'.
a = -4

Simplifying
a = -4