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

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

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

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

Reorder the terms:
-4 + 2x = 4(3 + x) + -6(3 + 2x)
-4 + 2x = (3 * 4 + x * 4) + -6(3 + 2x)
-4 + 2x = (12 + 4x) + -6(3 + 2x)
-4 + 2x = 12 + 4x + (3 * -6 + 2x * -6)
-4 + 2x = 12 + 4x + (-18 + -12x)

Reorder the terms:
-4 + 2x = 12 + -18 + 4x + -12x

Combine like terms: 12 + -18 = -6
-4 + 2x = -6 + 4x + -12x

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

Solving
-4 + 2x = -6 + -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.
-4 + 2x + 8x = -6 + -8x + 8x

Combine like terms: 2x + 8x = 10x
-4 + 10x = -6 + -8x + 8x

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

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

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

Combine like terms: -6 + 4 = -2
10x = -2

Divide each side by '10'.
x = -0.2

Simplifying
x = -0.2