Ask Me Help Desk - Struggling with a simple equation

The problem you have listed is
$-3.6P_0+83.3=\left(3 \frac 4 7\right)P_0+46.4$
and you want to solve for P0.
First I'll convert 3 4/7 to 3.57
$ -3.6P_0+83.3=\left(3.57\right)P_0+46.4 \\ \text {move the constants to the left and the P0 terms to the right} \\ 83.3-46.4=\left(3.57+3.6\right)P_0 \\ \text {combine like terms} \\ 36.9=\left(7.17\right)P_0 \\ \text {divide by the P0 multiplier} \\ 36.9/7.17=P_0 \\ \text {divide the left side} \\ P_0=5.15 \\ $

Your first problem is when you moved 46.4 to the left you got 37, but it should be 36.9.
Your second problem is that you divided 37 by 7 6/35 incorrectly. I'm not sure what you did to get 0.1938 but you should have converted 7 6/35 into a single fraction, 251/35 and then divided 37 by that or multiplied by 35/251 which would have given 1295/251... which is still wrong because of your first mistake.

Hope this helps!