Respuesta :

Answer:

The solution to the given equation is

[tex]x=0[/tex]

Explanation:

Given the equation:

[tex]0.3x+1.8=0.4(x+5)-0.2[/tex]

To solve this, we first remove the bracket on the right-hand side of the equation.

[tex]0.3x+1.8=0.4x+2-0.2[/tex]

Next, we subtract 1.8 from both sides

[tex]\begin{gathered} 0.3x+1.8-1.8=0.4x+2-0.2-1.8 \\ \\ 0.3x=0.4x \end{gathered}[/tex]

Next, subract 0.3x from both sides

[tex]\begin{gathered} 0.4x-0.3x=0.3x-0.3x \\ 0.1x=0 \end{gathered}[/tex]

Divide both sides by 0.1

[tex]\begin{gathered} \frac{0.1x}{0.1}=\frac{0}{0.1} \\ \\ x=0 \end{gathered}[/tex]

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