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

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

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

Reorder the terms:
2 + 3 + 1 + -3x = x + -2(8x + -1)

Combine like terms: 2 + 3 = 5
5 + 1 + -3x = x + -2(8x + -1)

Combine like terms: 5 + 1 = 6
6 + -3x = x + -2(8x + -1)

Reorder the terms:
6 + -3x = x + -2(-1 + 8x)
6 + -3x = x + (-1 * -2 + 8x * -2)
6 + -3x = x + (2 + -16x)

Reorder the terms:
6 + -3x = 2 + x + -16x

Combine like terms: x + -16x = -15x
6 + -3x = 2 + -15x

Solving
6 + -3x = 2 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
6 + -3x + 15x = 2 + -15x + 15x

Combine like terms: -3x + 15x = 12x
6 + 12x = 2 + -15x + 15x

Combine like terms: -15x + 15x = 0
6 + 12x = 2 + 0
6 + 12x = 2

Add '-6' to each side of the equation.
6 + -6 + 12x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 12x = 2 + -6
12x = 2 + -6

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

Divide each side by '12'.
x = -0.3333333333

Simplifying
x = -0.3333333333