3+(4a-2)=6-(a+1)

Solution for 3+(4a-2)=6-(a+1) equation:

Simplifying
3 + (4a + -2) = 6 + -1(a + 1)

Reorder the terms:
3 + (-2 + 4a) = 6 + -1(a + 1)

Remove parenthesis around (-2 + 4a)
3 + -2 + 4a = 6 + -1(a + 1)

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

Reorder the terms:
1 + 4a = 6 + -1(1 + a)
1 + 4a = 6 + (1 * -1 + a * -1)
1 + 4a = 6 + (-1 + -1a)

Combine like terms: 6 + -1 = 5
1 + 4a = 5 + -1a

Solving
1 + 4a = 5 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
1 + 4a + a = 5 + -1a + a

Combine like terms: 4a + a = 5a
1 + 5a = 5 + -1a + a

Combine like terms: -1a + a = 0
1 + 5a = 5 + 0
1 + 5a = 5

Add '-1' to each side of the equation.
1 + -1 + 5a = 5 + -1

Combine like terms: 1 + -1 = 0
0 + 5a = 5 + -1
5a = 5 + -1

Combine like terms: 5 + -1 = 4
5a = 4

Divide each side by '5'.
a = 0.8

Simplifying
a = 0.8