(2a+1)-(5a-1)=-1

Solution for (2a+1)-(5a-1)=-1 equation:

Simplifying
(2a + 1) + -1(5a + -1) = -1

Reorder the terms:
(1 + 2a) + -1(5a + -1) = -1

Remove parenthesis around (1 + 2a)
1 + 2a + -1(5a + -1) = -1

Reorder the terms:
1 + 2a + -1(-1 + 5a) = -1
1 + 2a + (-1 * -1 + 5a * -1) = -1
1 + 2a + (1 + -5a) = -1

Reorder the terms:
1 + 1 + 2a + -5a = -1

Combine like terms: 1 + 1 = 2
2 + 2a + -5a = -1

Combine like terms: 2a + -5a = -3a
2 + -3a = -1

Solving
2 + -3a = -1

Solving for variable 'a'.

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

Add '-2' to each side of the equation.
2 + -2 + -3a = -1 + -2

Combine like terms: 2 + -2 = 0
0 + -3a = -1 + -2
-3a = -1 + -2

Combine like terms: -1 + -2 = -3
-3a = -3

Divide each side by '-3'.
a = 1

Simplifying
a = 1