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

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

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

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

Reorder the terms:
-3 + 3A + 4(1 + 2A) = 6
-3 + 3A + (1 * 4 + 2A * 4) = 6
-3 + 3A + (4 + 8A) = 6

Reorder the terms:
-3 + 4 + 3A + 8A = 6

Combine like terms: -3 + 4 = 1
1 + 3A + 8A = 6

Combine like terms: 3A + 8A = 11A
1 + 11A = 6

Solving
1 + 11A = 6

Solving for variable 'A'.

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

Add '-1' to each side of the equation.
1 + -1 + 11A = 6 + -1

Combine like terms: 1 + -1 = 0
0 + 11A = 6 + -1
11A = 6 + -1

Combine like terms: 6 + -1 = 5
11A = 5

Divide each side by '11'.
A = 0.4545454545

Simplifying
A = 0.4545454545