Solve 4x-1/9=8/21

$$\frac { 4 x - 1 } { 9 } = \frac { 8 } { 21 }$$

Solve for x

$$x = \frac{31}{28} = 1\frac{3}{28} \approx 1.107142857$$

Steps for Solving Linear Equation

Multiply both sides by 9.

$$4x-1=\frac{8}{21}\times 9$$

Express \frac{8}{21}\times 9 as a single fraction.

$$4x-1=\frac{8\times 9}{21}$$

Multiply 8 and 9 to get 72.

$$4x-1=\frac{72}{21}$$

Reduce the fraction \frac{72}{21} to lowest terms by extracting and canceling out 3.

$$4x-1=\frac{24}{7}$$

Add 1 to both sides.

$$4x=\frac{24}{7}+1$$

Convert 1 to fraction \frac{7}{7}.

$$4x=\frac{24}{7}+\frac{7}{7}$$

Since \frac{24}{7} and \frac{7}{7} have the same denominator, add them by adding their numerators.

$$4x=\frac{24+7}{7}$$

Add 24 and 7 to get 31.

$$4x=\frac{31}{7}$$

Divide both sides by 4.

$$x=\frac{\frac{31}{7}}{4}$$

Express \frac{\frac{31}{7}}{4} as a single fraction.

$$x=\frac{31}{7\times 4}$$

Multiply 7 and 4 to get 28.

$$x=\frac{31}{28}$$