2(3x-4)-3(x-5)=-11

Solution for 2(3x-4)-3(x-5)=-11 equation:

Simplifying
2(3x + -4) + -3(x + -5) = -11

Reorder the terms:
2(-4 + 3x) + -3(x + -5) = -11
(-4 * 2 + 3x * 2) + -3(x + -5) = -11
(-8 + 6x) + -3(x + -5) = -11

Reorder the terms:
-8 + 6x + -3(-5 + x) = -11
-8 + 6x + (-5 * -3 + x * -3) = -11
-8 + 6x + (15 + -3x) = -11

Reorder the terms:
-8 + 15 + 6x + -3x = -11

Combine like terms: -8 + 15 = 7
7 + 6x + -3x = -11

Combine like terms: 6x + -3x = 3x
7 + 3x = -11

Solving
7 + 3x = -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 + 3x = -11 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = -11 + -7
3x = -11 + -7

Combine like terms: -11 + -7 = -18
3x = -18

Divide each side by '3'.
x = -6

Simplifying
x = -6