Solve the equation 580x = 2900.

Step-by-step solution

1. 1

   Notice this is a one-step equation. There is no constant added to the left-hand side, so the only operation applied to $x$ is multiplication by $580$. Undoing it takes a single division.

2. 2

   Divide both sides by $580$.

   $x=\frac{2900}{580}$

3. 3

   Reduce the fraction rather than reaching for a calculator. Both numbers end in $0$, so cancel a factor of $10$, then a factor of $58$:

   $\frac{2900}{580}=\frac{290}{58}=\frac{5\cdot 58}{58}=5$

   Spotting that $58\times 5=290$ makes the division exact and visibly clean.

4. 4

   Check by multiplying back. The fastest verification of a division is the corresponding multiplication:

   $580\times 5=2900\qquad\checkmark$