3(2-x)-(x-5)=-1

Solution for 3(2-x)-(x-5)=-1 equation:

Simplifying
3(2 + -1x) + -1(x + -5) = -1
(2 * 3 + -1x * 3) + -1(x + -5) = -1
(6 + -3x) + -1(x + -5) = -1

Reorder the terms:
6 + -3x + -1(-5 + x) = -1
6 + -3x + (-5 * -1 + x * -1) = -1
6 + -3x + (5 + -1x) = -1

Reorder the terms:
6 + 5 + -3x + -1x = -1

Combine like terms: 6 + 5 = 11
11 + -3x + -1x = -1

Combine like terms: -3x + -1x = -4x
11 + -4x = -1

Solving
11 + -4x = -1

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + -4x = -1 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = -1 + -11
-4x = -1 + -11

Combine like terms: -1 + -11 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3