Sx Solve: $$ 9 x-18=3(3 x-2)-12 $$

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UpStudy AI · Accepted Answer

1. Start with the equation:  
   $$
   9x - 18 = 3(3x - 2) - 12
   $$

2. Expand the right-hand side by distributing the 3:  
   $$
   3(3x - 2) = 9x - 6
   $$  
   So the equation becomes:  
   $$
   9x - 18 = 9x - 6 - 12
   $$

3. Simplify the right-hand side by combining like terms:  
   $$
   -6 - 12 = -18
   $$  
   Now, the equation is:  
   $$
   9x - 18 = 9x - 18
   $$

4. Notice that both sides of the equation are identical. This indicates that the equation is true for all values of $$ x $$.

5. Therefore, the solution set is all real numbers:  
   $$
   x \in \mathbb{R}
   $$
The equation is true for all real numbers $$ x $$.

Sx Solve: \( 9 x-18=3(3 x-2)-12 \)

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