Solve 0.966x-4000-0.034*0.9/0.1x=0

$$0.966 x - 4000 - \frac { 0.034 \cdot 0.9 } { 0.1 } x = 0$$

Solve for x

$$x = \frac{200000}{33} = 6060\frac{20}{33} \approx 6060.606060606$$

Steps for Solving Linear Equation

Multiply 0.034 and 0.9 to get 0.0306.

$$0.966x-4000-\frac{0.0306}{0.1}x=0$$

Expand \frac{0.0306}{0.1} by multiplying both numerator and the denominator by 10000.

$$0.966x-4000-\frac{306}{1000}x=0$$

Reduce the fraction \frac{306}{1000} to lowest terms by extracting and canceling out 2.

$$0.966x-4000-\frac{153}{500}x=0$$

Combine 0.966x and -\frac{153}{500}x to get \frac{33}{50}x.

$$\frac{33}{50}x-4000=0$$

Add 4000 to both sides. Anything plus zero gives itself.

$$\frac{33}{50}x=4000$$

Multiply both sides by \frac{50}{33}, the reciprocal of \frac{33}{50}.

$$x=4000\times \frac{50}{33}$$

Express 4000\times \frac{50}{33} as a single fraction.

$$x=\frac{4000\times 50}{33}$$

Multiply 4000 and 50 to get 200000.

$$x=\frac{200000}{33}$$