Given the following equation:
![3(c+5)-7=23](https://img.qammunity.org/2023/formulas/mathematics/college/pu1pyovn51hrwtori6l0k6853z8stzskue.png)
Step 1. You must apply the Distributive property:
![\begin{gathered} (3)(c)+(3)(5)-7=23 \\ 3c+15-7=23 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/3m2872uxdcinsjydeudiiopcttjkrtr2zw.png)
Step 2. Solve the subtraction:
![3c+8=23](https://img.qammunity.org/2023/formulas/mathematics/college/dspo9vrg9v3kwdisspv003hz36x05ckajo.png)
Step 3. Apply the Subtraction property of equality by subtracting 8 from both sides of the equation:
![\begin{gathered} 3c+8-(8)=23-(8) \\ 3c=15 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/9tcj51r95a9ve6xy5aqq7df9p0ipjosi7m.png)
Step 4. Apply the Division property of equality by dividing both sides of the equation by 3:
![(3c)/(3)=(15)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/pxbnwgniqei5pyl5n85ltclih9g44ie2bc.png)
The solution is:
![c=5](https://img.qammunity.org/2023/formulas/mathematics/high-school/jhrb65pmvvjxbvedgrwuhvkmp7a1t6h8aw.png)