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

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

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

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

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

Solving
6 + 2x = -3 + 3x

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
6 + -1x = -3 + 0
6 + -1x = -3

Add '-6' to each side of the equation.
6 + -6 + -1x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -3 + -6
-1x = -3 + -6

Combine like terms: -3 + -6 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9