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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