How many solutions does the equation −3x−17=−17−3x have?

an infinite number of solutions

Step-by-step explanation:

−3x −17 = −17 −3x

left side = right side  TRUE because -3x-17 is the same as -17-3x

we can rearrange  the the equation

−3x −17 +17 = −17 +17−3x, add 17 on both sides of the equations

            -3x = -3x, divide both sides by (-3)

               x = x

Since this equation is always true ( for any number ) we have an infinite number of solutions (since there are is an infinity of numbers.)