3(4x+2)+4(6x+1)=43

Solution for 3(4x+2)+4(6x+1)=43 equation:

Simplifying
3(4x + 2) + 4(6x + 1) = 43

Reorder the terms:
3(2 + 4x) + 4(6x + 1) = 43
(2 * 3 + 4x * 3) + 4(6x + 1) = 43
(6 + 12x) + 4(6x + 1) = 43

Reorder the terms:
6 + 12x + 4(1 + 6x) = 43
6 + 12x + (1 * 4 + 6x * 4) = 43
6 + 12x + (4 + 24x) = 43

Reorder the terms:
6 + 4 + 12x + 24x = 43

Combine like terms: 6 + 4 = 10
10 + 12x + 24x = 43

Combine like terms: 12x + 24x = 36x
10 + 36x = 43

Solving
10 + 36x = 43

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 36x = 43 + -10

Combine like terms: 10 + -10 = 0
0 + 36x = 43 + -10
36x = 43 + -10

Combine like terms: 43 + -10 = 33
36x = 33

Divide each side by '36'.
x = 0.9166666667

Simplifying
x = 0.9166666667