Question

Solve: 9x-18=3(3x-2)-12​

Answer 1

Solution: any number (x ∈ R)

Explanation:

`9x-18=3(3x-2)-12\qquad\text{use the distributive property}\\\\9x-18=(3)(3x)+(3)(-2)-12\\\\9x-18=9x-6-12\qquad\text{subtract}\ 9x\ \text{from both sides}\\\\9x-9x-18=9x-9x-18\\\\-18=-18\qquad\bold{TRUE}`

We received a true equation without the variable x.

Conclusion:

The equation is identity. Each number satisfies this equation.