Final answer:
To solve the equation, subtract 48 from 78 to get 30, then multiply both sides by the reciprocal of 51/90 to isolate x. The solution is approximately x ≈ 52.941.
Step-by-step explanation:
The student is asking to solve the equation 51/90x = 78 - 48. First, simplify the right side of the equation by subtracting 48 from 78, which gives us 30.
The equation now is 51/90x = 30. To solve for x, multiply both sides of the equation by 90/51 or its simplified form 30/17. Multiplying 30 by 30/17 gives us x = 900/17 or approximately 52.941. Therefore, the solution to the equation is x ≈ 52.941.