[3a+2]-2=4a+1

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

Simplifying
[3a + 2] + -2 = 4a + 1

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

Remove brackets around [2 + 3a]
2 + 3a + -2 = 4a + 1

Reorder the terms:
2 + -2 + 3a = 4a + 1

Combine like terms: 2 + -2 = 0
0 + 3a = 4a + 1
3a = 4a + 1

Reorder the terms:
3a = 1 + 4a

Solving
3a = 1 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
3a + -4a = 1 + 4a + -4a

Combine like terms: 3a + -4a = -1a
-1a = 1 + 4a + -4a

Combine like terms: 4a + -4a = 0
-1a = 1 + 0
-1a = 1

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

Simplifying
a = -1