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

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

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

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

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

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

Reorder the terms:
-1 + -2x = -3(-2 + 3x)
-1 + -2x = (-2 * -3 + 3x * -3)
-1 + -2x = (6 + -9x)

Solving
-1 + -2x = 6 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-1 + -2x + 9x = 6 + -9x + 9x

Combine like terms: -2x + 9x = 7x
-1 + 7x = 6 + -9x + 9x

Combine like terms: -9x + 9x = 0
-1 + 7x = 6 + 0
-1 + 7x = 6

Add '1' to each side of the equation.
-1 + 1 + 7x = 6 + 1

Combine like terms: -1 + 1 = 0
0 + 7x = 6 + 1
7x = 6 + 1

Combine like terms: 6 + 1 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1