3(x-2)-(x-1)=-11

Solution for 3(x-2)-(x-1)=-11 equation:

Simplifying
3(x + -2) + -1(x + -1) = -11

Reorder the terms:
3(-2 + x) + -1(x + -1) = -11
(-2 * 3 + x * 3) + -1(x + -1) = -11
(-6 + 3x) + -1(x + -1) = -11

Reorder the terms:
-6 + 3x + -1(-1 + x) = -11
-6 + 3x + (-1 * -1 + x * -1) = -11
-6 + 3x + (1 + -1x) = -11

Reorder the terms:
-6 + 1 + 3x + -1x = -11

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

Combine like terms: 3x + -1x = 2x
-5 + 2x = -11

Solving
-5 + 2x = -11

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 2x = -11 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = -11 + 5
2x = -11 + 5

Combine like terms: -11 + 5 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3