Final Answer:
The solution to the algebraic equation
.
Step-by-step explanation:
To solve the equation
![\(3x + 7 = 22\), begin by isolating the variable \(x\). Subtract 7 from both sides to isolate the term containing \(x\):\[3x + 7 - 7 = 22 - 7\]\[3x = 15\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/vw5mzsf0zl26hgf5drle57nsewsparlx5m.png)
![Next, to solve for \(x\), divide both sides of the equation by the coefficient of \(x\), which is 3:\[3x / 3 = 15 / 3\]\[x = 5\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/e0ozyik5o1kxo6k7kgdc63guxpdx1iepof.png)
![Therefore, the solution to the equation is \(x = 5\). Substituting \(x = 5\) back into the original equation \(3x + 7 = 22\) confirms the solution:\[3(5) + 7 = 22\]\[15 + 7 = 22\]\[22 = 22\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/w4ox1kf2x62f4r8ql9m8w7xujsm3lhmz3d.png)
Hence, when x equals 5, the equation is satisfied, and both sides of the equation are equal, validating the solution.
Here is complete question;
"Can anyone solve this algebraic equation?
."