Answer
{$3$}
Work Step by Step
Step 1: $0.01x+3.1=2.03x-2.96$
Step 2: Subtracting $0.01x$ from both sides, $0.01x-0.01x+3.1=2.03x-0.01x-2.96$
Step 3: $3.1=2.02x-2.96$
Step 4: Adding $2.96$ to both sides, $3.1+2.96=2.02x-2.96+2.96$
Step 5: $6.06=2.02x$
Step 6: Dividing both sides by $2.02$, $\frac{6.06}{2.02}=\frac{2.02x}{2.02}$
Step 7: Therefore, $x=3$.
Check:
$0.01(3)+3.1=2.03(3)-2.96$
$0.03+3.1=6.09-2.96$
$3.13=3.13$
$0=0$
Since the result checks, the solution set of the equation is {$3$}.
