Answer:
Solving the expression and round to the nearest hundredth
we get
![\mathbf{x=0.67}](https://img.qammunity.org/2022/formulas/mathematics/high-school/tjq4v1ndprbv82ym3fbj9w362q1kz9tird.png)
Explanation:
We need to solve the expression and round to the nearest hundredth
![0(5x+2)=2(9x-6)](https://img.qammunity.org/2022/formulas/mathematics/high-school/alcf9eiv02nbxx35tgfkvjiwbrkseml6x4.png)
Solving:
![0(5x+2)=2(9x-6)](https://img.qammunity.org/2022/formulas/mathematics/high-school/alcf9eiv02nbxx35tgfkvjiwbrkseml6x4.png)
We know that multiplying anything by zero we get zero
![0=2(9x-6)](https://img.qammunity.org/2022/formulas/mathematics/high-school/inirhq8b0gnqrfiz5avy9krl6jci28fvdi.png)
Switching sides
![2(9x-6)=0](https://img.qammunity.org/2022/formulas/mathematics/high-school/9a440ukmriw5qfirpypqrhp6f0ez9zr5sk.png)
Multiplying 2 with terms inside the bracket
![18x-12=0](https://img.qammunity.org/2022/formulas/mathematics/high-school/tlqobq8mujgyl9jwqqw2b8fdecsjcnbft4.png)
Adding 12 on both sides
![18x-12+12=0+12\\18x=12](https://img.qammunity.org/2022/formulas/mathematics/high-school/59zvrzf69bi2q8t1nqmq3913g389qfe5jh.png)
Divide both sides by 18
![(18x)/(18)=(12)/(18)\\x=0.666](https://img.qammunity.org/2022/formulas/mathematics/high-school/ulhv0mobpkd6lp2l6aafv5k7rxsz4ve17w.png)
Rounding to nearest hundredth we get:
![x=0.67](https://img.qammunity.org/2022/formulas/mathematics/high-school/rshrcv439suon9buaz9riluqxcgbsz287o.png)
So, solving the expression and round to the nearest hundredth
we get
![\mathbf{x=0.67}](https://img.qammunity.org/2022/formulas/mathematics/high-school/tjq4v1ndprbv82ym3fbj9w362q1kz9tird.png)