6(x-2)-7(x+3)=-33

Solution for 6(x-2)-7(x+3)=-33 equation:

Simplifying
6(x + -2) + -7(x + 3) = -33

Reorder the terms:
6(-2 + x) + -7(x + 3) = -33
(-2 * 6 + x * 6) + -7(x + 3) = -33
(-12 + 6x) + -7(x + 3) = -33

Reorder the terms:
-12 + 6x + -7(3 + x) = -33
-12 + 6x + (3 * -7 + x * -7) = -33
-12 + 6x + (-21 + -7x) = -33

Reorder the terms:
-12 + -21 + 6x + -7x = -33

Combine like terms: -12 + -21 = -33
-33 + 6x + -7x = -33

Combine like terms: 6x + -7x = -1x
-33 + -1x = -33

Add '33' to each side of the equation.
-33 + 33 + -1x = -33 + 33

Combine like terms: -33 + 33 = 0
0 + -1x = -33 + 33
-1x = -33 + 33

Combine like terms: -33 + 33 = 0
-1x = 0

Solving
-1x = 0

Solving for variable 'x'.

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

Divide each side by '-1'.
x = 0

Simplifying
x = 0