Solve x+x*10.6%=4109

$$x+x \times 10.6 \% =4109$$

Solve for x

$$x = \frac{293500}{79} = 3715\frac{15}{79} \approx 3715.189873418$$

Steps for Solving Linear Equation

Expand \frac{10.6}{100} by multiplying both numerator and the denominator by 10.

$$x+x\times \frac{106}{1000}=4109$$

Reduce the fraction \frac{106}{1000} to lowest terms by extracting and canceling out 2.

$$x+x\times \frac{53}{500}=4109$$

Combine x and x\times \frac{53}{500} to get \frac{553}{500}x.

$$\frac{553}{500}x=4109$$

Multiply both sides by \frac{500}{553}, the reciprocal of \frac{553}{500}.

$$x=4109\times \frac{500}{553}$$

Express 4109\times \frac{500}{553} as a single fraction.

$$x=\frac{4109\times 500}{553}$$

Multiply 4109 and 500 to get 2054500.

$$x=\frac{2054500}{553}$$

Reduce the fraction \frac{2054500}{553} to lowest terms by extracting and canceling out 7.

$$x=\frac{293500}{79}$$