3(4x+1)+2(6x-1)=13

Solution for 3(4x+1)+2(6x-1)=13 equation:

Simplifying
3(4x + 1) + 2(6x + -1) = 13

Reorder the terms:
3(1 + 4x) + 2(6x + -1) = 13
(1 * 3 + 4x * 3) + 2(6x + -1) = 13
(3 + 12x) + 2(6x + -1) = 13

Reorder the terms:
3 + 12x + 2(-1 + 6x) = 13
3 + 12x + (-1 * 2 + 6x * 2) = 13
3 + 12x + (-2 + 12x) = 13

Reorder the terms:
3 + -2 + 12x + 12x = 13

Combine like terms: 3 + -2 = 1
1 + 12x + 12x = 13

Combine like terms: 12x + 12x = 24x
1 + 24x = 13

Solving
1 + 24x = 13

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 24x = 13 + -1

Combine like terms: 1 + -1 = 0
0 + 24x = 13 + -1
24x = 13 + -1

Combine like terms: 13 + -1 = 12
24x = 12

Divide each side by '24'.
x = 0.5

Simplifying
x = 0.5