3(x-23)+3(x-2)=33

Solution for 3(x-23)+3(x-2)=33 equation:

Simplifying
3(x + -23) + 3(x + -2) = 33

Reorder the terms:
3(-23 + x) + 3(x + -2) = 33
(-23 * 3 + x * 3) + 3(x + -2) = 33
(-69 + 3x) + 3(x + -2) = 33

Reorder the terms:
-69 + 3x + 3(-2 + x) = 33
-69 + 3x + (-2 * 3 + x * 3) = 33
-69 + 3x + (-6 + 3x) = 33

Reorder the terms:
-69 + -6 + 3x + 3x = 33

Combine like terms: -69 + -6 = -75
-75 + 3x + 3x = 33

Combine like terms: 3x + 3x = 6x
-75 + 6x = 33

Solving
-75 + 6x = 33

Solving for variable 'x'.

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

Add '75' to each side of the equation.
-75 + 75 + 6x = 33 + 75

Combine like terms: -75 + 75 = 0
0 + 6x = 33 + 75
6x = 33 + 75

Combine like terms: 33 + 75 = 108
6x = 108

Divide each side by '6'.
x = 18

Simplifying
x = 18