4(6a-5)-[3(4a-2)+5]=

Solution for 4(6a-5)-[3(4a-2)+5]= equation:

Simplifying
4(6a + -5) + -1[3(4a + -2) + 5] = 0

Reorder the terms:
4(-5 + 6a) + -1[3(4a + -2) + 5] = 0
(-5 * 4 + 6a * 4) + -1[3(4a + -2) + 5] = 0
(-20 + 24a) + -1[3(4a + -2) + 5] = 0

Reorder the terms:
-20 + 24a + -1[3(-2 + 4a) + 5] = 0
-20 + 24a + -1[(-2 * 3 + 4a * 3) + 5] = 0
-20 + 24a + -1[(-6 + 12a) + 5] = 0

Reorder the terms:
-20 + 24a + -1[-6 + 5 + 12a] = 0

Combine like terms: -6 + 5 = -1
-20 + 24a + -1[-1 + 12a] = 0
-20 + 24a + [-1 * -1 + 12a * -1] = 0
-20 + 24a + [1 + -12a] = 0

Reorder the terms:
-20 + 1 + 24a + -12a = 0

Combine like terms: -20 + 1 = -19
-19 + 24a + -12a = 0

Combine like terms: 24a + -12a = 12a
-19 + 12a = 0

Solving
-19 + 12a = 0

Solving for variable 'a'.

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

Add '19' to each side of the equation.
-19 + 19 + 12a = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 12a = 0 + 19
12a = 0 + 19

Combine like terms: 0 + 19 = 19
12a = 19

Divide each side by '12'.
a = 1.583333333

Simplifying
a = 1.583333333