2[4a+1]=3a

Solution for 2[4a+1]=3a equation:

Simplifying
2[4a + 1] = 3a

Reorder the terms:
2[1 + 4a] = 3a
[1 * 2 + 4a * 2] = 3a
[2 + 8a] = 3a

Solving
2 + 8a = 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
2 + 8a + -3a = 3a + -3a

Combine like terms: 8a + -3a = 5a
2 + 5a = 3a + -3a

Combine like terms: 3a + -3a = 0
2 + 5a = 0

Add '-2' to each side of the equation.
2 + -2 + 5a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5a = 0 + -2
5a = 0 + -2

Combine like terms: 0 + -2 = -2
5a = -2

Divide each side by '5'.
a = -0.4

Simplifying
a = -0.4