Sure, I’d be happy to help you solve the equation!
The equation you provided is:
45x+274=954​x+427​=9
To solve for xx, follow these steps:
Step 1: Get rid of fractions by multiplying the entire equation by the least common multiple (LCM) of the denominators. In this case, the LCM of 5 and 4 is 20. So, multiply both sides by 20:
20×(45x+274)=20×920×(54​x+427​)=20×9
Simplify:
4x⋅4+27⋅5=1804x⋅4+27⋅5=180
Step 2: Solve for xx:
16x+135=18016x+135=180
Step 3: Isolate xx on one side by moving the constant term to the other side of the equation. Subtract 135 from both sides:
16x=180−13516x=180−135
16x=4516x=45
Step 4: Finally, solve for xx by dividing both sides by 16:
x=4516x=1645​
This is the simplified solution for xx. If you need a decimal approximation, divide 45 by 16:
x≈2.8125x≈2.8125