Answer:
Solving the expression and round to the nearest hundredth
we get ![\mathbf{x=0.67}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%3D0.67%7D)
Step-by-step explanation:
We need to solve the expression and round to the nearest hundredth
![0(5x+2)=2(9x-6)](https://tex.z-dn.net/?f=0%285x%2B2%29%3D2%289x-6%29)
Solving:
![0(5x+2)=2(9x-6)](https://tex.z-dn.net/?f=0%285x%2B2%29%3D2%289x-6%29)
We know that multiplying anything by zero we get zero
![0=2(9x-6)](https://tex.z-dn.net/?f=0%3D2%289x-6%29)
Switching sides
![2(9x-6)=0](https://tex.z-dn.net/?f=2%289x-6%29%3D0)
Multiplying 2 with terms inside the bracket
![18x-12=0](https://tex.z-dn.net/?f=18x-12%3D0)
Adding 12 on both sides
![18x-12+12=0+12\\18x=12](https://tex.z-dn.net/?f=18x-12%2B12%3D0%2B12%5C%5C18x%3D12)
Divide both sides by 18
![\frac{18x}{18}=\frac{12}{18}\\x=0.666](https://tex.z-dn.net/?f=%5Cfrac%7B18x%7D%7B18%7D%3D%5Cfrac%7B12%7D%7B18%7D%5C%5Cx%3D0.666)
Rounding to nearest hundredth we get:
![x=0.67](https://tex.z-dn.net/?f=x%3D0.67)
So, solving the expression and round to the nearest hundredth
we get ![\mathbf{x=0.67}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%3D0.67%7D)