2(4x-3)-3(x+2)=33

Solution for 2(4x-3)-3(x+2)=33 equation:

Simplifying
2(4x + -3) + -3(x + 2) = 33

Reorder the terms:
2(-3 + 4x) + -3(x + 2) = 33
(-3 * 2 + 4x * 2) + -3(x + 2) = 33
(-6 + 8x) + -3(x + 2) = 33

Reorder the terms:
-6 + 8x + -3(2 + x) = 33
-6 + 8x + (2 * -3 + x * -3) = 33
-6 + 8x + (-6 + -3x) = 33

Reorder the terms:
-6 + -6 + 8x + -3x = 33

Combine like terms: -6 + -6 = -12
-12 + 8x + -3x = 33

Combine like terms: 8x + -3x = 5x
-12 + 5x = 33

Solving
-12 + 5x = 33

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 5x = 33 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 33 + 12
5x = 33 + 12

Combine like terms: 33 + 12 = 45
5x = 45

Divide each side by '5'.
x = 9

Simplifying
x = 9