We are given:
[tex] 4x+10=7x+16 [/tex]
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:
[tex] -3x+10=16 [/tex]
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:
[tex] -3x=6 [/tex]
Since we cannot have a coefficient when solving for x, we need to divide both sides by -3.
[tex] \frac{-3x}{-3}={\frac{6}{-3} [/tex]
When we divide, our answer is:
[tex] x=-2 [/tex]
