We are given:
![4x+10=7x+16](https://img.qammunity.org/2019/formulas/mathematics/middle-school/xncebxgwhf8hztoto7qdhscplngj3yn8oj.png)
Our goal in solving for any variable, in this case is x, we need to isolate x on one side of the variable. Let's start by subtracting 7x from both sides, which will cancel the +7x on the right side. We are then left with:
![-3x+10=16](https://img.qammunity.org/2019/formulas/mathematics/middle-school/yk196nptc0lj6tb3kjzq1cpsgpruwfovt0.png)
Now, we want to move that +10 to the other side so our x is all by itself. Let's subtract 10 from both sides, which will cancel the +10 on the right leaving us with:
![-3x=6](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ga1dx5xjr6vgtqchmhzk811g2r2ax2r8vb.png)
Since we cannot have a coefficient when solving for x, we need to divide both sides by -3.
![(-3x)/(-3)={(6)/(-3)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/2j4bynbx5sfpj670d120i9zq7sc7h643ue.png)
When we divide, our answer is:
![x=-2](https://img.qammunity.org/2019/formulas/mathematics/college/th5qag8u7vhunw9k8qg5ggn9n9uidfb1gt.png)