Answer
True
Work Step by Step
Step 1: $2x+5=x-3$
Step 2: Subtracting $5$ from both sides, $2x+5-5=x-3-5$
Step 3: $2x=x-8$
Step 4: Subtracting x from both sides, $2x-x=x-x-8$
Step 5: Solving, $x=-8$.
Check:
Step 1: $2(-8)+5=-8-3$
Step 2: $-16+5=-11$
Step 3: $-11=-11$
Step 4: $0=0$
Therefore, the statement is true and the solution set of the equation is indeed {$-8$}.
