We are given:
[tex] -6x+11=7-10x [/tex]
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:
[tex] 4x+11=7 [/tex]
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:
[tex] 4x=-4 [/tex]
To solve for x, we have to remove the coefficient. Divide both sides by the coefficient of x, which is 4.
[tex] \frac{4x}{4}=\frac{-4}{4} [/tex]
Simplify.
[tex] x=-1 [/tex]
