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

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

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

Reorder the terms:
3x + -2 + 2(4 + 2x) = 3(4 + -2x) + -2(x + 4)
3x + -2 + (4 * 2 + 2x * 2) = 3(4 + -2x) + -2(x + 4)
3x + -2 + (8 + 4x) = 3(4 + -2x) + -2(x + 4)

Reorder the terms:
-2 + 8 + 3x + 4x = 3(4 + -2x) + -2(x + 4)

Combine like terms: -2 + 8 = 6
6 + 3x + 4x = 3(4 + -2x) + -2(x + 4)

Combine like terms: 3x + 4x = 7x
6 + 7x = 3(4 + -2x) + -2(x + 4)
6 + 7x = (4 * 3 + -2x * 3) + -2(x + 4)
6 + 7x = (12 + -6x) + -2(x + 4)

Reorder the terms:
6 + 7x = 12 + -6x + -2(4 + x)
6 + 7x = 12 + -6x + (4 * -2 + x * -2)
6 + 7x = 12 + -6x + (-8 + -2x)

Reorder the terms:
6 + 7x = 12 + -8 + -6x + -2x

Combine like terms: 12 + -8 = 4
6 + 7x = 4 + -6x + -2x

Combine like terms: -6x + -2x = -8x
6 + 7x = 4 + -8x

Solving
6 + 7x = 4 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
6 + 7x + 8x = 4 + -8x + 8x

Combine like terms: 7x + 8x = 15x
6 + 15x = 4 + -8x + 8x

Combine like terms: -8x + 8x = 0
6 + 15x = 4 + 0
6 + 15x = 4

Add '-6' to each side of the equation.
6 + -6 + 15x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 15x = 4 + -6
15x = 4 + -6

Combine like terms: 4 + -6 = -2
15x = -2

Divide each side by '15'.
x = -0.1333333333

Simplifying
x = -0.1333333333