Question

Solve for x138=8(3x-3)-6 $*$&$#*$

Answer 1

x = 7

Step-by-step explanation:

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

`\begin{gathered} 138=8(3x-3)-6 \\ 138=(8\cdot3x)-(8\cdot3)-6 \\ 138=24x-24-6 \end{gathered}`

So, adding like terms, we get:

`138=24x-30`

Adding 30 to both sides:

`\begin{gathered} 138+30=24x-30+30 \\ 168=24x \end{gathered}`

Finally, dividing by 24 into both sides:

`\begin{gathered} (168)/(24)=(24x)/(24) \\ 7=x \end{gathered}`

Therefore, the value of x is 7