Answer :

Answer:

x = 7

Explanation:

To solve for x, we first apply the distributive property on the right side of the equation as follows:

[tex]\begin{gathered} 138=8(3x-3)-6 \\ 138=(8\cdot3x)-(8\cdot3)-6 \\ 138=24x-24-6 \end{gathered}[/tex]

So, adding like terms, we get:

[tex]138=24x-30[/tex]

Adding 30 to both sides:

[tex]\begin{gathered} 138+30=24x-30+30 \\ 168=24x \end{gathered}[/tex]

Finally, dividing by 24 into both sides:

[tex]\begin{gathered} \frac{168}{24}=\frac{24x}{24} \\ 7=x \end{gathered}[/tex]

Therefore, the value of x is 7

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