2(x-3)-4(x+5)=-33

Solution for 2(x-3)-4(x+5)=-33 equation:

Simplifying
2(x + -3) + -4(x + 5) = -33

Reorder the terms:
2(-3 + x) + -4(x + 5) = -33
(-3 * 2 + x * 2) + -4(x + 5) = -33
(-6 + 2x) + -4(x + 5) = -33

Reorder the terms:
-6 + 2x + -4(5 + x) = -33
-6 + 2x + (5 * -4 + x * -4) = -33
-6 + 2x + (-20 + -4x) = -33

Reorder the terms:
-6 + -20 + 2x + -4x = -33

Combine like terms: -6 + -20 = -26
-26 + 2x + -4x = -33

Combine like terms: 2x + -4x = -2x
-26 + -2x = -33

Solving
-26 + -2x = -33

Solving for variable 'x'.

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

Add '26' to each side of the equation.
-26 + 26 + -2x = -33 + 26

Combine like terms: -26 + 26 = 0
0 + -2x = -33 + 26
-2x = -33 + 26

Combine like terms: -33 + 26 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5