Let's simplify the equation step by step:
The original equation is:
\[ (5 \times 7) - (5 \times 2) = x \times (7 - 2) \]
First, we can calculate the left side:
\[ (5 \times 7) = 35 \] \[ (5 \times 2) = 10 \]
Now substituting these values back into the equation:
\[ 35 - 10 = x \times (7 - 2) \] \[ 25 = x \times 5 \]
Now, to solve for \( x \), we divide both sides by 5:
\[ x = \frac{25}{5} \] \[ x = 5 \]
So the solution is:
\[ x = 5 \]