-6(X-1)=7X-33

Solution for -6(X-1)=7X-33 equation:

Simplifying
-6(X + -1) = 7X + -33

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

Reorder the terms:
6 + -6X = -33 + 7X

Solving
6 + -6X = -33 + 7X

Solving for variable 'X'.

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

Add '-7X' to each side of the equation.
6 + -6X + -7X = -33 + 7X + -7X

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

Combine like terms: 7X + -7X = 0
6 + -13X = -33 + 0
6 + -13X = -33

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