Solve 200-0.9left(x-200right)=195

$$200-0.9 \left( x-200 \right) =195$$

Solve for x

$$x = \frac{1850}{9} = 205\frac{5}{9} \approx 205.555555556$$

Steps for Solving Linear Equation

Use the distributive property to multiply -0.9 by x-200.

$$200-0.9x+180=195$$

Add 200 and 180 to get 380.

$$380-0.9x=195$$

Subtract 380 from both sides.

$$-0.9x=195-380$$

Subtract 380 from 195 to get -185.

$$-0.9x=-185$$

Divide both sides by -0.9.

$$x=\frac{-185}{-0.9}$$

Expand \frac{-185}{-0.9} by multiplying both numerator and the denominator by 10.

$$x=\frac{-1850}{-9}$$

Fraction \frac{-1850}{-9} can be simplified to \frac{1850}{9} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1850}{9}$$