-2(x+3)+6=3-(x+5)

Solution for -2(x+3)+6=3-(x+5) equation:

Simplifying
-2(x + 3) + 6 = 3 + -1(x + 5)

Reorder the terms:
-2(3 + x) + 6 = 3 + -1(x + 5)
(3 * -2 + x * -2) + 6 = 3 + -1(x + 5)
(-6 + -2x) + 6 = 3 + -1(x + 5)

Reorder the terms:
-6 + 6 + -2x = 3 + -1(x + 5)

Combine like terms: -6 + 6 = 0
0 + -2x = 3 + -1(x + 5)
-2x = 3 + -1(x + 5)

Reorder the terms:
-2x = 3 + -1(5 + x)
-2x = 3 + (5 * -1 + x * -1)
-2x = 3 + (-5 + -1x)

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

Solving
-2x = -2 + -1x

Solving for variable 'x'.

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

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

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2