Respuesta :

The initial expression is:

[tex]6m+3=\frac{2x-4}{2}[/tex]

To solve for x, we need to multiply both sides by 2, as:

[tex]\begin{gathered} (6m+3)\cdot2=\frac{2x-4}{2}\cdot2 \\ 12m´+6=2x-4 \end{gathered}[/tex]

Adding 4 on both sides, we get:

[tex]\begin{gathered} 12m´+6+4=2x-4+4 \\ 12m+10=2x \end{gathered}[/tex]

Dividing by 2 on both sides:

[tex]\begin{gathered} \frac{12m+10}{2}=\frac{2x}{2} \\ 6m+5=x \end{gathered}[/tex]

Answer: x = 6m + 5

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