Question

Explain why $x-5=-7andx=12$are equivalent equations.

Short answer

Yes, the equations are equivalent.

Step-by-step solution

Step 1  .Proving that both equations are same

Taking first equation

$x-5=7$

Step 2  .Adding with constant number

Adding 5 on both sides We get

$\begin{array}{c}x-5+5=7+5\\ x=12\end{array}$

.Conclusion

Which in second equation $x=12$

Hence the equation $x-5=7$ and $x=12$ are equivalent.