Answer :
Given:
[tex]2x+7-x=3+x+4[/tex]To find whether the equation is identity or inconsistent.
Identity:
If the given equation is equal on both sides after solving and has same value for all real numbers then the equation is identity.
Inconsistent:
If the equation has no solution and not equal on both sides then the equation is inconsistent.
Now solving the equation:
[tex]\begin{gathered} 2x+7-x=3+x+4 \\ x+7=7+x \\ x+7=x+7 \end{gathered}[/tex]Now clearly the equation is same on both sides and true for all real numbers so the equation is identity.
Hence, the answer is identity.