Solve 5.4%*x=2/8+2

$$5.4 \% \times x= \frac{ 2 }{ 8 } +2$$

Solve for x

$$x = \frac{125}{3} = 41\frac{2}{3} \approx 41.666666667$$

Steps for Solving Linear Equation

Expand \frac{5.4}{100} by multiplying both numerator and the denominator by 10.

$$\frac{54}{1000}x=\frac{2}{8}+2$$

Reduce the fraction \frac{54}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{27}{500}x=\frac{2}{8}+2$$

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$\frac{27}{500}x=\frac{1}{4}+2$$

Convert 2 to fraction \frac{8}{4}.

$$\frac{27}{500}x=\frac{1}{4}+\frac{8}{4}$$

Since \frac{1}{4} and \frac{8}{4} have the same denominator, add them by adding their numerators.

$$\frac{27}{500}x=\frac{1+8}{4}$$

Add 1 and 8 to get 9.

$$\frac{27}{500}x=\frac{9}{4}$$

Multiply both sides by \frac{500}{27}, the reciprocal of \frac{27}{500}.

$$x=\frac{9}{4}\times \frac{500}{27}$$

Multiply \frac{9}{4} times \frac{500}{27} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{9\times 500}{4\times 27}$$

Do the multiplications in the fraction \frac{9\times 500}{4\times 27}.

$$x=\frac{4500}{108}$$

Reduce the fraction \frac{4500}{108} to lowest terms by extracting and canceling out 36.

$$x=\frac{125}{3}$$