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

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

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

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

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

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

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

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

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

Solving
1 + -1x = 3

Solving for variable 'x'.

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

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

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

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

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

Simplifying
x = -2