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

Solution for 5a-2[3-2(4a+3)]=0 equation:

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

Reorder the terms:
5a + -2[3 + -2(3 + 4a)] = 0
5a + -2[3 + (3 * -2 + 4a * -2)] = 0
5a + -2[3 + (-6 + -8a)] = 0

Combine like terms: 3 + -6 = -3
5a + -2[-3 + -8a] = 0
5a + [-3 * -2 + -8a * -2] = 0
5a + [6 + 16a] = 0

Reorder the terms:
6 + 5a + 16a = 0

Combine like terms: 5a + 16a = 21a
6 + 21a = 0

Solving
6 + 21a = 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 + 21a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 21a = 0 + -6
21a = 0 + -6

Combine like terms: 0 + -6 = -6
21a = -6

Divide each side by '21'.
a = -0.2857142857

Simplifying
a = -0.2857142857