Given the equation expressed as:
[tex]2x+5=8x[/tex]First, we need to calculate the value of "x" from the given expression.
Step 1: Given the equation 2x + 5 = 8x
Step 2: Subtract 5 from both sides:
[tex]\begin{gathered} 2x+5-5=8x-5 \\ 2x+\cancel{5}-\cancel{5}=8x-5 \\ 2x=8x-5 \end{gathered}[/tex]Step 3: Subtract 8x from both sides
[tex]\begin{gathered} 2x-8x=8x-8x-5 \\ -6x=\cancel{8x}-\cancel{8x}-5 \\ -6x=-5 \end{gathered}[/tex]Step 4: Divide both sides by -6
[tex]\begin{gathered} \frac{-6x}{-6}=\frac{-5}{-6} \\ x=\frac{5}{6} \end{gathered}[/tex]Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:
[tex]\begin{gathered} 12x=12(\frac{5}{6}) \\ 12x=\cancel{12}^2(\frac{5}{\cancel{6}^1}) \\ 12x=2\times5 \\ 12x=10 \end{gathered}[/tex]Therefore the value of 12x is 10