Solve x/0.7-0.17/0.03=1

$$\frac { x } { 0.7 } - \frac { 0.17 } { 0.03 } = 1$$

Solve for x

$$x = \frac{14}{3} = 4\frac{2}{3} \approx 4.666666667$$

Steps for Solving Linear Equation

Expand \frac{0.17}{0.03} by multiplying both numerator and the denominator by 100.

$$\frac{x}{0.7}-\frac{17}{3}=1$$

Add \frac{17}{3} to both sides.

$$\frac{x}{0.7}=1+\frac{17}{3}$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{x}{0.7}=\frac{3}{3}+\frac{17}{3}$$

Since \frac{3}{3} and \frac{17}{3} have the same denominator, add them by adding their numerators.

$$\frac{x}{0.7}=\frac{3+17}{3}$$

Add 3 and 17 to get 20.

$$\frac{x}{0.7}=\frac{20}{3}$$

Multiply both sides by 0.7.

$$x=\frac{20}{3}\times 0.7$$

Convert decimal number 0.7 to fraction \frac{7}{10}.

$$x=\frac{20}{3}\times \frac{7}{10}$$

Multiply \frac{20}{3} times \frac{7}{10} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{20\times 7}{3\times 10}$$

Do the multiplications in the fraction \frac{20\times 7}{3\times 10}.

$$x=\frac{140}{30}$$

Reduce the fraction \frac{140}{30} to lowest terms by extracting and canceling out 10.

$$x=\frac{14}{3}$$