Solve 6/5=x-1/7

$$\frac{ 6 }{ 5 } = \frac{ x-1 }{ 7 }$$

Solve for x

$$x = \frac{47}{5} = 9\frac{2}{5} = 9.4$$

Steps for Solving Linear Equation

Multiply both sides by 7.

$$\frac{6}{5}\times 7=x-1$$

Express \frac{6}{5}\times 7 as a single fraction.

$$\frac{6\times 7}{5}=x-1$$

Multiply 6 and 7 to get 42.

$$\frac{42}{5}=x-1$$

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

$$x-1=\frac{42}{5}$$

Add 1 to both sides.

$$x=\frac{42}{5}+1$$

Convert 1 to fraction \frac{5}{5}.

$$x=\frac{42}{5}+\frac{5}{5}$$

Since \frac{42}{5} and \frac{5}{5} have the same denominator, add them by adding their numerators.

$$x=\frac{42+5}{5}$$

Add 42 and 5 to get 47.

$$x=\frac{47}{5}$$