4a+1=3a+2-2

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

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

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

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

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

Solving
1 + 4a = 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.
1 + 4a + -3a = 3a + -3a

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

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

Add '-1' to each side of the equation.
1 + -1 + 1a = 0 + -1

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

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

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

Simplifying
a = -1