#### Answer

The student did not properly apply the distributive property in the first step.
$6x-5$ should have been $6x-10$.
$x=3$

#### Work Step by Step

$2(3x-5)=5x-7$ $\longrightarrow$distributive property
$6x-10=5x-7$ $\longrightarrow$addition property
$6x-10+10=5x-7+10$ $\longrightarrow$simplify
$6x=5x+3$ $\longrightarrow$addition property
$6x-5x=5x+3-5x$ $\longrightarrow$simplify
$x=3$