4a-(5a+3)=-1

Solution for 4a-(5a+3)=-1 equation:

Simplifying
4a + -1(5a + 3) = -1

Reorder the terms:
4a + -1(3 + 5a) = -1
4a + (3 * -1 + 5a * -1) = -1
4a + (-3 + -5a) = -1

Reorder the terms:
-3 + 4a + -5a = -1

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

Solving
-3 + -1a = -1

Solving for variable 'a'.

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

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

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

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

Divide each side by '-1'.
a = -2

Simplifying
a = -2