-6+6(-3x+9)=174

Solution for -6+6(-3x+9)=174 equation:

Simplifying
-6 + 6(-3x + 9) = 174

Reorder the terms:
-6 + 6(9 + -3x) = 174
-6 + (9 * 6 + -3x * 6) = 174
-6 + (54 + -18x) = 174

Combine like terms: -6 + 54 = 48
48 + -18x = 174

Solving
48 + -18x = 174

Solving for variable 'x'.

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

Add '-48' to each side of the equation.
48 + -48 + -18x = 174 + -48

Combine like terms: 48 + -48 = 0
0 + -18x = 174 + -48
-18x = 174 + -48

Combine like terms: 174 + -48 = 126
-18x = 126

Divide each side by '-18'.
x = -7

Simplifying
x = -7