3(4x+2)=11(x-3)

Solution for 3(4x+2)=11(x-3) equation:

Simplifying
3(4x + 2) = 11(x + -3)

Reorder the terms:
3(2 + 4x) = 11(x + -3)
(2 * 3 + 4x * 3) = 11(x + -3)
(6 + 12x) = 11(x + -3)

Reorder the terms:
6 + 12x = 11(-3 + x)
6 + 12x = (-3 * 11 + x * 11)
6 + 12x = (-33 + 11x)

Solving
6 + 12x = -33 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
6 + 12x + -11x = -33 + 11x + -11x

Combine like terms: 12x + -11x = 1x
6 + 1x = -33 + 11x + -11x

Combine like terms: 11x + -11x = 0
6 + 1x = -33 + 0
6 + 1x = -33

Add '-6' to each side of the equation.
6 + -6 + 1x = -33 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = -33 + -6
1x = -33 + -6

Combine like terms: -33 + -6 = -39
1x = -39

Divide each side by '1'.
x = -39

Simplifying
x = -39