I need to understand how to write this out in steps. Please help

[MagicMan227]

15 x = 3 - 9 x

 

[soroban]

Hello, MagicMan227!

\(\displaystyle 15x \:=\:3 - 9 x\)

\(\displaystyle \begin{array}{ccccccc}\text{Given:} & 15x \;=\; 3 - 9x \\ \\ \text{Add }9x: & 15x + 9x \;=\; 3-9x+9x \\ \\ \text{Simplify:} & 24x \;=\; 3\qquad\;\, \\ \\ \text{Divide by 24:} & \dfrac{24x}{24} \;=\; \dfrac{3}{24}\qquad \\ \\ \text{Simplify:} & x \;=\; \dfrac{1}{8}\quad\; \end{array}\)

 

[pka]

15 x = 3 - 9 x

Well that means \(\displaystyle 24x=3\).
SO, \(\displaystyle x=~?\)