Final answer:
To solve the equation 7(x-3)=3x * 13/(x) * x, simplify the right-hand side by canceling the x, expand the left side, move all x terms to one side, divide to isolate x, and then check the solution.
Step-by-step explanation:
To solve the equation 7(x−3)=3x * 13/(x) * x, we first recognize that we can simplify the right side by multiplying 3x and x, which then cancels out the denominator x. This simplifies the equation to 7(x−3)=3x * 13. We can then expand the left side to 7x−21 and continue solving for x.
Now we have 7x - 21 = 39x after multiplying 3x * 13. Moving all x terms to one side we get 7x - 39x = 21, and simplify to −32x = 21. To find the value of x, we divide both sides by −32 which yields x = −0.65625.
Finally, we check the solution to ensure it makes sense. By plugging the value back into the original equation, we can confirm the left and right sides are equal.