Solve x+x*10.6%=3775

$$x+x \times 10.6 \% =3775$$

Solve for x

$$x = \frac{1887500}{553} = 3413\frac{111}{553} \approx 3413.200723327$$

Steps for Solving Linear Equation

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

$$x+x\times \frac{106}{1000}=3775$$

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

$$x+x\times \frac{53}{500}=3775$$

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

$$\frac{553}{500}x=3775$$

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

$$x=3775\times \frac{500}{553}$$

Express 3775\times \frac{500}{553} as a single fraction.

$$x=\frac{3775\times 500}{553}$$

Multiply 3775 and 500 to get 1887500.

$$x=\frac{1887500}{553}$$