6-4x(2+x)=8(1-x)-3

Solution for 6-4x(2+x)=8(1-x)-3 equation:

Simplifying
6 + -4x(2 + x) = 8(1 + -1x) + -3
6 + (2 * -4x + x * -4x) = 8(1 + -1x) + -3
6 + (-8x + -4x2) = 8(1 + -1x) + -3
6 + -8x + -4x2 = (1 * 8 + -1x * 8) + -3
6 + -8x + -4x2 = (8 + -8x) + -3

Reorder the terms:
6 + -8x + -4x2 = 8 + -3 + -8x

Combine like terms: 8 + -3 = 5
6 + -8x + -4x2 = 5 + -8x

Add '8x' to each side of the equation.
6 + -8x + 8x + -4x2 = 5 + -8x + 8x

Combine like terms: -8x + 8x = 0
6 + 0 + -4x2 = 5 + -8x + 8x
6 + -4x2 = 5 + -8x + 8x

Combine like terms: -8x + 8x = 0
6 + -4x2 = 5 + 0
6 + -4x2 = 5

Solving
6 + -4x2 = 5

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -4x2 = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -4x2 = 5 + -6
-4x2 = 5 + -6

Combine like terms: 5 + -6 = -1
-4x2 = -1

Divide each side by '-4'.
x2 = 0.25

Simplifying
x2 = 0.25

Take the square root of each side:
x = {-0.5, 0.5}