2(3-2(x-5))=30

Solution for 2(3-2(x-5))=30 equation:

Simplifying
2(3 + -2(x + -5)) = 30

Reorder the terms:
2(3 + -2(-5 + x)) = 30
2(3 + (-5 * -2 + x * -2)) = 30
2(3 + (10 + -2x)) = 30

Combine like terms: 3 + 10 = 13
2(13 + -2x) = 30
(13 * 2 + -2x * 2) = 30
(26 + -4x) = 30

Solving
26 + -4x = 30

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 + -4x = 30 + -26

Combine like terms: 26 + -26 = 0
0 + -4x = 30 + -26
-4x = 30 + -26

Combine like terms: 30 + -26 = 4
-4x = 4

Divide each side by '-4'.
x = -1

Simplifying
x = -1