(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 = -15
-15 + x + -2x = -5

Combine like terms: x + -2x = -1x
-15 + -1x = -5

Solving
-15 + -1x = -5

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + -1x = -5 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = -5 + 15
-1x = -5 + 15

Combine like terms: -5 + 15 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10