Answer:
x = 10 / 7
Explanations:
The given equation is:
15 = 7x + 5
To get the value of x that will make the equation true, we are going to solve for x, that is, make x the subject of the equation
The first step is to collect like terms
The equation becomes:
15 - 5 = 7x
10 = 7x
This can also be written as:
7x = 10
Divide both sides by 7
7x / 7 = 10 / 7
x = 10 / 7
![\text{x = }(10)/(7)](https://img.qammunity.org/2023/formulas/mathematics/college/oynt7adnyyq49y3a4jlh64y72lejmzazx0.png)
To check:
Insert the value of x, (i.e. 10/7) into the equation 15 = 7x + 5 and see if the Left Hand Side equals the Right Hand Side
![\begin{gathered} 15\text{ = 7}(10)/(7)\text{ + 5} \\ 15\text{ = }(70)/(7)+\text{ 5} \\ 15\text{ = 10 + 5} \\ 15\text{ = 15} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/f6k9236wuxw3mwiwoxv4hi09um573ijw85.png)
Since after the check, the Right Hand Side equals the Left Hand Side, the solution x = 10/7 is correct