Answer :

Final answer:

By equating the x-values and constant values on both sides of the equation, we solve for x and find that x=11. By substituting x=11 back into the original equation, we verify our findings, as both sides yield the same result, 48.

Explanation:

If 5x-7=3x+15, we can equate the coefficients of x and the constant values on both sides of the equation. We will first subtract 3x from both sides, resulting in

2x-7=15.

Next, we add 7 to both sides, ending up with

2x=22.

Finally, we divide by 2 from both sides to get

x=11.

To verify the solution, we substitute x=11 back into the original equation:

5(11) - 7 = 3(11) + 15.

The results yield 48 on both ends of the equation, confirming that x = 11 is the correct solution.

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