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

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

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

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

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

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

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

Solving
a = 6 + 21a

Solving for variable 'a'.

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

Add '-21a' to each side of the equation.
a + -21a = 6 + 21a + -21a

Combine like terms: a + -21a = -20a
-20a = 6 + 21a + -21a

Combine like terms: 21a + -21a = 0
-20a = 6 + 0
-20a = 6

Divide each side by '-20'.
a = -0.3

Simplifying
a = -0.3