Answer:
The solution to the given equation is
![x=0](https://img.qammunity.org/2023/formulas/mathematics/high-school/fbdfo5wsa562jve9mar3rnrxezpj37nli7.png)
Step-by-step explanation:
Given the equation:
![0.3x+1.8=0.4(x+5)-0.2](https://img.qammunity.org/2023/formulas/mathematics/college/hxtyvnjknriwmdfnnmp7aizp4x07hw8w7c.png)
To solve this, we first remove the bracket on the right-hand side of the equation.
![0.3x+1.8=0.4x+2-0.2](https://img.qammunity.org/2023/formulas/mathematics/college/40kf48c2ehob159kdl61s5x50v8hlimhu5.png)
Next, we subtract 1.8 from both sides
![\begin{gathered} 0.3x+1.8-1.8=0.4x+2-0.2-1.8 \\ \\ 0.3x=0.4x \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/u9s9fjtt0tfjna65dvp48gy7sr5umof92v.png)
Next, subract 0.3x from both sides
![\begin{gathered} 0.4x-0.3x=0.3x-0.3x \\ 0.1x=0 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/e129j489gapafclxyvuvrx6yorj6sjrrz4.png)
Divide both sides by 0.1
![\begin{gathered} (0.1x)/(0.1)=(0)/(0.1) \\ \\ x=0 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ch9054m0u154woumso7p5fwpaya0vyqvm3.png)