3(4x+2)=19x-4

Solution for 3(4x+2)=19x-4 equation:

Simplifying
3(4x + 2) = 19x + -4

Reorder the terms:
3(2 + 4x) = 19x + -4
(2 * 3 + 4x * 3) = 19x + -4
(6 + 12x) = 19x + -4

Reorder the terms:
6 + 12x = -4 + 19x

Solving
6 + 12x = -4 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
6 + 12x + -19x = -4 + 19x + -19x

Combine like terms: 12x + -19x = -7x
6 + -7x = -4 + 19x + -19x

Combine like terms: 19x + -19x = 0
6 + -7x = -4 + 0
6 + -7x = -4

Add '-6' to each side of the equation.
6 + -6 + -7x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = -4 + -6
-7x = -4 + -6

Combine like terms: -4 + -6 = -10
-7x = -10

Divide each side by '-7'.
x = 1.428571429

Simplifying
x = 1.428571429