4-(x-7)=3-(6-x)

Solution for 4-(x-7)=3-(6-x) equation:

Simplifying
4 + -1(x + -7) = 3 + -1(6 + -1x)

Reorder the terms:
4 + -1(-7 + x) = 3 + -1(6 + -1x)
4 + (-7 * -1 + x * -1) = 3 + -1(6 + -1x)
4 + (7 + -1x) = 3 + -1(6 + -1x)

Combine like terms: 4 + 7 = 11
11 + -1x = 3 + -1(6 + -1x)
11 + -1x = 3 + (6 * -1 + -1x * -1)
11 + -1x = 3 + (-6 + 1x)

Combine like terms: 3 + -6 = -3
11 + -1x = -3 + 1x

Solving
11 + -1x = -3 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
11 + -1x + -1x = -3 + 1x + -1x

Combine like terms: -1x + -1x = -2x
11 + -2x = -3 + 1x + -1x

Combine like terms: 1x + -1x = 0
11 + -2x = -3 + 0
11 + -2x = -3

Add '-11' to each side of the equation.
11 + -11 + -2x = -3 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = -3 + -11
-2x = -3 + -11

Combine like terms: -3 + -11 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7