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

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

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

Reorder the terms:
-4(-5 + 4a) = 3(-1 + -5a)
(-5 * -4 + 4a * -4) = 3(-1 + -5a)
(20 + -16a) = 3(-1 + -5a)
20 + -16a = (-1 * 3 + -5a * 3)
20 + -16a = (-3 + -15a)

Solving
20 + -16a = -3 + -15a

Solving for variable 'a'.

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

Add '15a' to each side of the equation.
20 + -16a + 15a = -3 + -15a + 15a

Combine like terms: -16a + 15a = -1a
20 + -1a = -3 + -15a + 15a

Combine like terms: -15a + 15a = 0
20 + -1a = -3 + 0
20 + -1a = -3

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

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

Combine like terms: -3 + -20 = -23
-1a = -23

Divide each side by '-1'.
a = 23

Simplifying
a = 23