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

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

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

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

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

Reorder the terms:
-2 + 3x = 2 + 1 + 6x

Combine like terms: 2 + 1 = 3
-2 + 3x = 3 + 6x

Solving
-2 + 3x = 3 + 6x

Solving for variable 'x'.

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

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

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

Combine like terms: 6x + -6x = 0
-2 + -3x = 3 + 0
-2 + -3x = 3

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

Combine like terms: -2 + 2 = 0
0 + -3x = 3 + 2
-3x = 3 + 2

Combine like terms: 3 + 2 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667