2(2x+3)=-4(x-1)-2

Solution for 2(2x+3)=-4(x-1)-2 equation:

Simplifying
2(2x + 3) = -4(x + -1) + -2

Reorder the terms:
2(3 + 2x) = -4(x + -1) + -2
(3 * 2 + 2x * 2) = -4(x + -1) + -2
(6 + 4x) = -4(x + -1) + -2

Reorder the terms:
6 + 4x = -4(-1 + x) + -2
6 + 4x = (-1 * -4 + x * -4) + -2
6 + 4x = (4 + -4x) + -2

Reorder the terms:
6 + 4x = 4 + -2 + -4x

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

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

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

Combine like terms: -4x + 4x = 0
6 + 8x = 2 + 0
6 + 8x = 2

Add '-6' to each side of the equation.
6 + -6 + 8x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 2 + -6
8x = 2 + -6

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

Divide each side by '8'.
x = -0.5

Simplifying
x = -0.5