Solve the equation $|x-7|-3|2x+1|=0$ This equation is very unfamiliar with me, I never seen things like that because I always solved equations of the form $|\text{something}|=\text{things}$ but never seen equations that look like $|\text{something}|=|\text{things}|$. So if I learn how to solve it I will be able to solve questions that looks like it. Thank you;

$|x-7|-3|2x+1|=0\qquad$ iff $\qquad|x-7|=3|2x+1|\qquad$ iff $\qquad|x-7|^2=3^2|2x+1|^2$
iff $\qquad(x-7)^2=3^2(2x+1)^2\qquad$ iff $\qquad\cdots$
