(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 = 20
-1x = 20

Divide each side by '-1'.
x = -20

Simplifying
x = -20