3(x-2)-(11x-5)=20

Solution for 3(x-2)-(11x-5)=20 equation:

Simplifying
3(x + -2) + -1(11x + -5) = 20

Reorder the terms:
3(-2 + x) + -1(11x + -5) = 20
(-2 * 3 + x * 3) + -1(11x + -5) = 20
(-6 + 3x) + -1(11x + -5) = 20

Reorder the terms:
-6 + 3x + -1(-5 + 11x) = 20
-6 + 3x + (-5 * -1 + 11x * -1) = 20
-6 + 3x + (5 + -11x) = 20

Reorder the terms:
-6 + 5 + 3x + -11x = 20

Combine like terms: -6 + 5 = -1
-1 + 3x + -11x = 20

Combine like terms: 3x + -11x = -8x
-1 + -8x = 20

Solving
-1 + -8x = 20

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + -8x = 20 + 1

Combine like terms: -1 + 1 = 0
0 + -8x = 20 + 1
-8x = 20 + 1

Combine like terms: 20 + 1 = 21
-8x = 21

Divide each side by '-8'.
x = -2.625

Simplifying
x = -2.625