2(3-x)=-(x+7)

Solution for 2(3-x)=-(x+7) equation:

Simplifying
2(3 + -1x) = -1(x + 7)
(3 * 2 + -1x * 2) = -1(x + 7)
(6 + -2x) = -1(x + 7)

Reorder the terms:
6 + -2x = -1(7 + x)
6 + -2x = (7 * -1 + x * -1)
6 + -2x = (-7 + -1x)

Solving
6 + -2x = -7 + -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.
6 + -2x + x = -7 + -1x + x

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

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

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

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

Combine like terms: -7 + -6 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13