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

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

Simplifying
(-6x + 3) + -1(7x + -3) = -33

Reorder the terms:
(3 + -6x) + -1(7x + -3) = -33

Remove parenthesis around (3 + -6x)
3 + -6x + -1(7x + -3) = -33

Reorder the terms:
3 + -6x + -1(-3 + 7x) = -33
3 + -6x + (-3 * -1 + 7x * -1) = -33
3 + -6x + (3 + -7x) = -33

Reorder the terms:
3 + 3 + -6x + -7x = -33

Combine like terms: 3 + 3 = 6
6 + -6x + -7x = -33

Combine like terms: -6x + -7x = -13x
6 + -13x = -33

Solving
6 + -13x = -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 + -13x = -33 + -6

Combine like terms: 6 + -6 = 0
0 + -13x = -33 + -6
-13x = -33 + -6

Combine like terms: -33 + -6 = -39
-13x = -39

Divide each side by '-13'.
x = 3

Simplifying
x = 3