2(x-3)-4(x-2)=-20

Solution for 2(x-3)-4(x-2)=-20 equation:

Simplifying
2(x + -3) + -4(x + -2) = -20

Reorder the terms:
2(-3 + x) + -4(x + -2) = -20
(-3 * 2 + x * 2) + -4(x + -2) = -20
(-6 + 2x) + -4(x + -2) = -20

Reorder the terms:
-6 + 2x + -4(-2 + x) = -20
-6 + 2x + (-2 * -4 + x * -4) = -20
-6 + 2x + (8 + -4x) = -20

Reorder the terms:
-6 + 8 + 2x + -4x = -20

Combine like terms: -6 + 8 = 2
2 + 2x + -4x = -20

Combine like terms: 2x + -4x = -2x
2 + -2x = -20

Solving
2 + -2x = -20

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -2x = -20 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = -20 + -2
-2x = -20 + -2

Combine like terms: -20 + -2 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11