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 = -7
-7 + 3x + -1x = -11

Combine like terms: 3x + -1x = 2x
-7 + 2x = -11

Solving
-7 + 2x = -11

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 2x = -11 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = -11 + 7
2x = -11 + 7

Combine like terms: -11 + 7 = -4
2x = -4

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

Simplifying
x = -2