3(4x+2)=-2(5-2x)

Solution for 3(4x+2)=-2(5-2x) equation:

Simplifying
3(4x + 2) = -2(5 + -2x)

Reorder the terms:
3(2 + 4x) = -2(5 + -2x)
(2 * 3 + 4x * 3) = -2(5 + -2x)
(6 + 12x) = -2(5 + -2x)
6 + 12x = (5 * -2 + -2x * -2)
6 + 12x = (-10 + 4x)

Solving
6 + 12x = -10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 12x + -4x = -10 + 4x + -4x

Combine like terms: 12x + -4x = 8x
6 + 8x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 8x = -10 + 0
6 + 8x = -10

Add '-6' to each side of the equation.
6 + -6 + 8x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = -10 + -6
8x = -10 + -6

Combine like terms: -10 + -6 = -16
8x = -16

Divide each side by '8'.
x = -2

Simplifying
x = -2