Solve 6/3/6=x-1/5

$$\frac { \frac { 6 } { 3 } } { 6 } = \frac { x - 1 } { 5 }$$

Solve for x

$$x = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 6,5.

$$5\times \frac{6}{3}=6\left(x-1\right)$$

Divide 6 by 3 to get 2.

$$5\times 2=6\left(x-1\right)$$

Multiply 5 and 2 to get 10.

$$10=6\left(x-1\right)$$

Use the distributive property to multiply 6 by x-1.

$$10=6x-6$$

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

$$6x-6=10$$

Add 6 to both sides.

$$6x=10+6$$

Add 10 and 6 to get 16.

$$6x=16$$

Divide both sides by 6.

$$x=\frac{16}{6}$$

Reduce the fraction \frac{16}{6} to lowest terms by extracting and canceling out 2.

$$x=\frac{8}{3}$$