Evaluate Using the Given Value 50x=32.5x+52 , 500

$50 x = 32.5 x + 52$ , $500$

Move all terms containing $x$ to the left side of the equation.

Subtract $32.5 x$ from both sides of the equation.

$50 x - 32.5 x = 52$

Subtract $32.5 x$ from $50 x$ .

$17.5 x = 52$

Divide each term in $17.5 x = 52$ by $17.5$ and simplify.

Divide each term in $17.5 x = 52$ by $17.5$ .

$\frac{17.5 x}{17.5} = \frac{52}{17.5}$

Simplify the left side.

Cancel the common factor of $17.5$ .

Cancel the common factor.

$\frac{17.5 x}{17.5} = \frac{52}{17.5}$

Divide $x$ by $1$ .

$x = \frac{52}{17.5}$

Simplify the right side.

Divide $52$ by $17.5$ .

$x = 2.9\overline{714285}$

Replace the variable $x$ with $2.9\overline{714285}$ in the expression.

$500$