6a-(3+2a)=3a+1

Solution for 6a-(3+2a)=3a+1 equation:

Simplifying
6a + -1(3 + 2a) = 3a + 1
6a + (3 * -1 + 2a * -1) = 3a + 1
6a + (-3 + -2a) = 3a + 1

Reorder the terms:
-3 + 6a + -2a = 3a + 1

Combine like terms: 6a + -2a = 4a
-3 + 4a = 3a + 1

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

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

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

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

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

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

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

Divide each side by '1'.
a = 4

Simplifying
a = 4