Final answer:
The equation 51/90x = 78-48 simplifies to 51/90x = 30. After multiplying both sides by 90 and then dividing by 51, the solution for x is 52.94.
Step-by-step explanation:
To solve the equation 51/90x = 78-48, we start by simplifying the right side of the equation, which provides us with 78 - 48 = 30. After this simplification, the equation becomes 51/90x = 30. Now to isolate x, we need to perform algebraic operations. Multiply both sides by 90 to cancel out the 51/90 on the left side, getting 51x = 2700.
Finally, divide both sides by 51 to find the value of x, which results in x = 2700/51. Upon calculation, x is found to be 52.94.