Solve 84=31.4*x/2.40

$$84 = 31.4 \times \frac { x } { 2.40 }$$

Solve for x

$$x = \frac{1008}{157} = 6\frac{66}{157} \approx 6.420382166$$

Steps for Solving Linear Equation

Divide both sides by 31.4.

$$\frac{84}{31.4}=\frac{x}{2.4}$$

Expand \frac{84}{31.4} by multiplying both numerator and the denominator by 10.

$$\frac{840}{314}=\frac{x}{2.4}$$

Reduce the fraction \frac{840}{314} to lowest terms by extracting and canceling out 2.

$$\frac{420}{157}=\frac{x}{2.4}$$

Multiply both sides by 2.4.

$$\frac{420}{157}\times 2.4=x$$

Convert decimal number 2.4 to fraction \frac{24}{10}. Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$\frac{420}{157}\times \frac{12}{5}=x$$

Multiply \frac{420}{157} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{420\times 12}{157\times 5}=x$$

Do the multiplications in the fraction \frac{420\times 12}{157\times 5}.

$$\frac{5040}{785}=x$$

Reduce the fraction \frac{5040}{785} to lowest terms by extracting and canceling out 5.

$$\frac{1008}{157}=x$$

Swap sides so that all variable terms are on the left hand side.

$$x=\frac{1008}{157}$$