We are given:
![-6x+11=7-10x](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ukuuw7qm1aygfcnvh4p3zib9fk0rjy6uy0.png)
Our main goal is to isolate x on one side completely. To do this, let's add 10x to both sides which will cancel the -10x on the right. When we do that, we are left with the following:
![4x+11=7](https://img.qammunity.org/2019/formulas/mathematics/middle-school/hb33wcmyd1febzx26u2tpjlx9i7o5uqlsw.png)
As stated above, we want x to be isolated. So, let's subtract 11 from both sides which will cancel the +11 on the left. We are left with:
![4x=-4](https://img.qammunity.org/2019/formulas/mathematics/middle-school/d9riq3lyetnsw83e8dnf45trjttg2976kn.png)
To solve for x, we have to remove the coefficient. Divide both sides by the coefficient of x, which is 4.
![(4x)/(4)=(-4)/(4)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/3fivih2i5506bekwp3u17ggq0989h0kapp.png)
Simplify.
![x=-1](https://img.qammunity.org/2019/formulas/mathematics/middle-school/9k6yrn7otbm3bh8i6lxoi2uf64i3hb6qqv.png)