We are given:
[tex] -7x=-\frac{3}{4}x-5 [/tex]
To clean up the equation, let's get rid of that fraction. To do that, multiply both sides by the denominator, which is 4.
[tex] 4(-7x)=4(-\frac{3}{4}x-5) [/tex]
When we do that, our simplified answer is:
[tex] -28x=-3x-20 [/tex]
We must isolate x on one side. To do this, add 3x to both sides. This will cancel the -3x on the right. When we do that, we are left with:
[tex] -25x=-20 [/tex]
To remove the coefficient and get x by itself, we need to divide both sides by -25.
[tex] \frac{-25x}{-25}=\frac{-20}{-25}[/tex]
When simplified, the answer will be:
[tex] x=\frac{4}{5} [/tex]
