Final answer:
After simplifying the expression and rearranging terms, the solution to the equation for x is found to be x = -8.
Step-by-step explanation:
To solve the given equation for x, we need to start by simplifying and rearranging terms:
First, we deal with the bracketed expressions:
x - 3 × · × 8 = × 6
The fractions within the brackets simplify as follows:
3 × · × 8 = -3 × 4 = -3
and
× 6 = 2 × 3 = 1
Next, we substitute these simplified values back into the equation:
x - 3(-3) = 1
This simplifies to:
x + 9 = 1
And finally, we subtract 9 from both sides to isolate x:
x = 1 - 9
x = -8
Therefore, the solution to the equation is x = -8.