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

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

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

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

Reorder the terms:
-6 + 5x + 4x = -33

Combine like terms: 5x + 4x = 9x
-6 + 9x = -33

Solving
-6 + 9x = -33

Solving for variable 'x'.

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

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

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

Combine like terms: -33 + 6 = -27
9x = -27

Divide each side by '9'.
x = -3

Simplifying
x = -3