Answer:
![\boxed{x=-(151)/(23)}](https://img.qammunity.org/2020/formulas/mathematics/college/kqymvlrlggqg4vt8avxm1qphhz528ra20b.png)
Explanation:
This is an equation whose target variable is
. Recall that in mathematics, an equation is a statement that involves the equality of two expression. In this case, we have the following equation:
![23(x+7)=10](https://img.qammunity.org/2020/formulas/mathematics/college/jpumw1w9py3w6gksfkp0p75r2vrddikuye.png)
Applying distributive property:
![23x+161=10](https://img.qammunity.org/2020/formulas/mathematics/college/tym2opbok64de8y97v81mc3242rnhya3dc.png)
Subtracting 161 from both sides:
![23x+161-161=10-161 \\ \\ 23x=-151](https://img.qammunity.org/2020/formulas/mathematics/college/qq0iofr53h1cqi2zeuexjqaz2aizxfd1yh.png)
Dividing both sides by 23:
![\boxed{x=-(151)/(23)}](https://img.qammunity.org/2020/formulas/mathematics/college/kqymvlrlggqg4vt8avxm1qphhz528ra20b.png)