Solve 2x+1/8=3/7

$$\frac { 2 x + 1 } { 8 } = \frac { 3 } { 7 }$$

Solve for x

$$x = \frac{17}{14} = 1\frac{3}{14} \approx 1.214285714$$

Steps for Solving Linear Equation

Multiply both sides by 8.

$$2x+1=\frac{3}{7}\times 8$$

Express \frac{3}{7}\times 8 as a single fraction.

$$2x+1=\frac{3\times 8}{7}$$

Multiply 3 and 8 to get 24.

$$2x+1=\frac{24}{7}$$

Subtract 1 from both sides.

$$2x=\frac{24}{7}-1$$

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

$$2x=\frac{24}{7}-\frac{7}{7}$$

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

$$2x=\frac{24-7}{7}$$

Subtract 7 from 24 to get 17.

$$2x=\frac{17}{7}$$

Divide both sides by 2.

$$x=\frac{\frac{17}{7}}{2}$$

Express \frac{\frac{17}{7}}{2} as a single fraction.

$$x=\frac{17}{7\times 2}$$

Multiply 7 and 2 to get 14.

$$x=\frac{17}{14}$$