Answer:
[tex]\boxed{x=-\frac{151}{23}}[/tex]
Step-by-step explanation:
This is an equation whose target variable is [tex]x[/tex]. Recall that in mathematics, an equation is a statement that involves the equality of two expression. In this case, we have the following equation:
[tex]23(x+7)=10[/tex]
Applying distributive property:
[tex]23x+161=10[/tex]
Subtracting 161 from both sides:
[tex]23x+161-161=10-161 \\ \\ 23x=-151[/tex]
Dividing both sides by 23:
[tex]\boxed{x=-\frac{151}{23}}[/tex]
