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

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

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

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

Remove parenthesis around (-3 + x)
-3 + x + -2(x + -6) = -5

Reorder the terms:
-3 + x + -2(-6 + x) = -5
-3 + x + (-6 * -2 + x * -2) = -5
-3 + x + (12 + -2x) = -5

Reorder the terms:
-3 + 12 + x + -2x = -5

Combine like terms: -3 + 12 = 9
9 + x + -2x = -5

Combine like terms: x + -2x = -1x
9 + -1x = -5

Solving
9 + -1x = -5

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -1x = -5 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = -5 + -9
-1x = -5 + -9

Combine like terms: -5 + -9 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14