ANSWER:
No solution in real numbers
STEP-BY-STEP EXPLANATION:
We have the following equation:
[tex]-7-7\mleft|-2x+9\mright|=28[/tex]
We solve for x as follows:
[tex]\begin{gathered} -7\mleft|-2x+9\mright|=28+7 \\ |-2x+9|=\frac{35}{-7} \\ |-2x+9|=-5 \\ x=\text{ no solutions} \end{gathered}[/tex]
Since the absolute value is always positive, the equation loses its meaning since it is equal to -5, which is not possible.
Which means that there is no solution for x in the real numbers.
