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

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

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

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

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

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

Solving
-1 + -1x = -2 + -2x

Solving for variable 'x'.

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

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

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

Combine like terms: -2x + 2x = 0
-1 + 1x = -2 + 0
-1 + 1x = -2

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

Combine like terms: -1 + 1 = 0
0 + 1x = -2 + 1
1x = -2 + 1

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

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

Simplifying
x = -1