Evaluate Using the Given Value 200x=110.5x+89 , 500

$200 x = 110.5 x + 89$ , $500$

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

Subtract $110.5 x$ from both sides of the equation.

$200 x - 110.5 x = 89$

Subtract $110.5 x$ from $200 x$ .

$89.5 x = 89$

Divide each term in $89.5 x = 89$ by $89.5$ and simplify.

Divide each term in $89.5 x = 89$ by $89.5$ .

$\frac{89.5 x}{89.5} = \frac{89}{89.5}$

Simplify the left side.

Cancel the common factor of $89.5$ .

Cancel the common factor.

$\frac{89.5 x}{89.5} = \frac{89}{89.5}$

Divide $x$ by $1$ .

$x = \frac{89}{89.5}$

Simplify the right side.

Divide $89$ by $89.5$ .

$x = 0.9944134$

Replace the variable $x$ with $0.9944134$ in the expression.

$500$