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 = -7
2(-7 + -2x) = 30
(-7 * 2 + -2x * 2) = 30
(-14 + -4x) = 30

Solving
-14 + -4x = 30

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + -4x = 30 + 14

Combine like terms: -14 + 14 = 0
0 + -4x = 30 + 14
-4x = 30 + 14

Combine like terms: 30 + 14 = 44
-4x = 44

Divide each side by '-4'.
x = -11

Simplifying
x = -11