(3a-5)-(5a+1)=0

Solution for (3a-5)-(5a+1)=0 equation:

Simplifying
(3a + -5) + -1(5a + 1) = 0

Reorder the terms:
(-5 + 3a) + -1(5a + 1) = 0

Remove parenthesis around (-5 + 3a)
-5 + 3a + -1(5a + 1) = 0

Reorder the terms:
-5 + 3a + -1(1 + 5a) = 0
-5 + 3a + (1 * -1 + 5a * -1) = 0
-5 + 3a + (-1 + -5a) = 0

Reorder the terms:
-5 + -1 + 3a + -5a = 0

Combine like terms: -5 + -1 = -6
-6 + 3a + -5a = 0

Combine like terms: 3a + -5a = -2a
-6 + -2a = 0

Solving
-6 + -2a = 0

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 6 + -2a = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -2a = 0 + 6
-2a = 0 + 6

Combine like terms: 0 + 6 = 6
-2a = 6

Divide each side by '-2'.
a = -3

Simplifying
a = -3