-3(2(x+5)-13)=33

Solution for -3(2(x+5)-13)=33 equation:

Simplifying
-3(2(x + 5) + -13) = 33

Reorder the terms:
-3(2(5 + x) + -13) = 33
-3((5 * 2 + x * 2) + -13) = 33
-3((10 + 2x) + -13) = 33

Reorder the terms:
-3(10 + -13 + 2x) = 33

Combine like terms: 10 + -13 = -3
-3(-3 + 2x) = 33
(-3 * -3 + 2x * -3) = 33
(9 + -6x) = 33

Solving
9 + -6x = 33

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -6x = 33 + -9

Combine like terms: 9 + -9 = 0
0 + -6x = 33 + -9
-6x = 33 + -9

Combine like terms: 33 + -9 = 24
-6x = 24

Divide each side by '-6'.
x = -4

Simplifying
x = -4