3(x-1)-1=6x-3x(1+x)

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

Simplifying
3(x + -1) + -1 = 6x + -3x(1 + x)

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

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

Combine like terms: -3 + -1 = -4
-4 + 3x = 6x + -3x(1 + x)
-4 + 3x = 6x + (1 * -3x + x * -3x)
-4 + 3x = 6x + (-3x + -3x2)

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

Add '-3x' to each side of the equation.
-4 + 3x + -3x = 3x + -3x + -3x2

Combine like terms: 3x + -3x = 0
-4 + 0 = 3x + -3x + -3x2
-4 = 3x + -3x + -3x2

Combine like terms: 3x + -3x = 0
-4 = 0 + -3x2
-4 = -3x2

Solving
-4 = -3x2

Solving for variable 'x'.

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

Add '3x2' to each side of the equation.
-4 + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-4 + 3x2 = 0

Add '4' to each side of the equation.
-4 + 4 + 3x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3x2 = 0 + 4
3x2 = 0 + 4

Combine like terms: 0 + 4 = 4
3x2 = 4

Divide each side by '3'.
x2 = 1.333333333

Simplifying
x2 = 1.333333333

Take the square root of each side:
x = {-1.154700538, 1.154700538}