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

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

Simplifying
2x + -3(2 + 4x) = 2 + -1(x + 2)
2x + (2 * -3 + 4x * -3) = 2 + -1(x + 2)
2x + (-6 + -12x) = 2 + -1(x + 2)

Reorder the terms:
-6 + 2x + -12x = 2 + -1(x + 2)

Combine like terms: 2x + -12x = -10x
-6 + -10x = 2 + -1(x + 2)

Reorder the terms:
-6 + -10x = 2 + -1(2 + x)
-6 + -10x = 2 + (2 * -1 + x * -1)
-6 + -10x = 2 + (-2 + -1x)

Combine like terms: 2 + -2 = 0
-6 + -10x = 0 + -1x
-6 + -10x = -1x

Solving
-6 + -10x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + -10x + x = -1x + x

Combine like terms: -10x + x = -9x
-6 + -9x = -1x + x

Combine like terms: -1x + x = 0
-6 + -9x = 0

Add '6' to each side of the equation.
-6 + 6 + -9x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -9x = 0 + 6
-9x = 0 + 6

Combine like terms: 0 + 6 = 6
-9x = 6

Divide each side by '-9'.
x = -0.6666666667

Simplifying
x = -0.6666666667