3(x+1)+2(2x-6)=33

Solution for 3(x+1)+2(2x-6)=33 equation:

Simplifying
3(x + 1) + 2(2x + -6) = 33

Reorder the terms:
3(1 + x) + 2(2x + -6) = 33
(1 * 3 + x * 3) + 2(2x + -6) = 33
(3 + 3x) + 2(2x + -6) = 33

Reorder the terms:
3 + 3x + 2(-6 + 2x) = 33
3 + 3x + (-6 * 2 + 2x * 2) = 33
3 + 3x + (-12 + 4x) = 33

Reorder the terms:
3 + -12 + 3x + 4x = 33

Combine like terms: 3 + -12 = -9
-9 + 3x + 4x = 33

Combine like terms: 3x + 4x = 7x
-9 + 7x = 33

Solving
-9 + 7x = 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 + 7x = 33 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 33 + 9
7x = 33 + 9

Combine like terms: 33 + 9 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6