Solve 7x-5/4=3/8

$$\frac{ 7x-5 }{ 4 } = \frac{ 3 }{ 8 }$$

Solve for x

$$x=\frac{13}{14}\approx 0.928571429$$

Steps for Solving Linear Equation

Multiply both sides by 4.

$$7x-5=\frac{3}{8}\times 4$$

Express \frac{3}{8}\times 4 as a single fraction.

$$7x-5=\frac{3\times 4}{8}$$

Multiply 3 and 4 to get 12.

$$7x-5=\frac{12}{8}$$

Reduce the fraction \frac{12}{8} to lowest terms by extracting and canceling out 4.

$$7x-5=\frac{3}{2}$$

Add 5 to both sides.

$$7x=\frac{3}{2}+5$$

Convert 5 to fraction \frac{10}{2}.

$$7x=\frac{3}{2}+\frac{10}{2}$$

Since \frac{3}{2} and \frac{10}{2} have the same denominator, add them by adding their numerators.

$$7x=\frac{3+10}{2}$$

Add 3 and 10 to get 13.

$$7x=\frac{13}{2}$$

Divide both sides by 7.

$$x=\frac{\frac{13}{2}}{7}$$

Express \frac{\frac{13}{2}}{7} as a single fraction.

$$x=\frac{13}{2\times 7}$$

Multiply 2 and 7 to get 14.

$$x=\frac{13}{14}$$