Work Step by Step
We start with the distributive property. We have $4(t-30)=5-3t$ is $4t-120=5-3t$. Now we add 3t to both sides and add 120 to both sides to isolate t with its coefficient. $4t-120=5-3t$ turns into $7t=125$. Now we divide both sides by 7 to fully isolate t to get $t=17.9$.