Question

peter is solving the linear equation $7x-5+5x=15x-7-3x+2$. his final two steps are:
$12x-5=12x-5$
$-5=-5$
select the statement that correctly interprets peters solution.
a the solution is $x=0$.
b the solution is the ordered pair $(-5,-5)$.
c there is no solution since $-5=-5$ is a true statemen

Explanation:

When solving a linear equation, if simplifying results in a true statement with no variable remaining (like $-5=-5$), this means every real number value of $x$ will satisfy the original equation. The given options are cut off, but the correct interpretation is that all real numbers are solutions. Based on the partial options provided, none of the listed A/B/C are correct, but the proper interpretation is that the equation has infinitely many solutions (all real numbers).

Answer:

The equation has infinitely many solutions; all real numbers are valid values for $x$.

(Note: The provided options are incomplete, but the correct interpretation is that every real number satisfies the original equation, as the simplified result is a universally true statement with no variable left.)