2x+(6-x)=3-(x+7)

Solution for 2x+(6-x)=3-(x+7) equation:

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

Remove parenthesis around (6 + -1x)
2x + 6 + -1x = 3 + -1(x + 7)

Reorder the terms:
6 + 2x + -1x = 3 + -1(x + 7)

Combine like terms: 2x + -1x = 1x
6 + 1x = 3 + -1(x + 7)

Reorder the terms:
6 + 1x = 3 + -1(7 + x)
6 + 1x = 3 + (7 * -1 + x * -1)
6 + 1x = 3 + (-7 + -1x)

Combine like terms: 3 + -7 = -4
6 + 1x = -4 + -1x

Solving
6 + 1x = -4 + -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 + 1x + x = -4 + -1x + x

Combine like terms: 1x + x = 2x
6 + 2x = -4 + -1x + x

Combine like terms: -1x + x = 0
6 + 2x = -4 + 0
6 + 2x = -4

Add '-6' to each side of the equation.
6 + -6 + 2x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = -4 + -6
2x = -4 + -6

Combine like terms: -4 + -6 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5