Solve 6/5=4/x-4

$$\frac { 6 } { 5 } = \frac { 4 } { x - 4 }$$

Solve for x

$$x = \frac{22}{3} = 7\frac{1}{3} \approx 7.333333333$$

Steps for Solving Linear Equation

Variable x cannot be equal to 4 since division by zero is not defined. Multiply both sides of the equation by 5\left(x-4\right), the least common multiple of 5,x-4.

$$6\left(x-4\right)=5\times 4$$

Use the distributive property to multiply 6 by x-4.

$$6x-24=5\times 4$$

Multiply 5 and 4 to get 20.

$$6x-24=20$$

Add 24 to both sides.

$$6x=20+24$$

Add 20 and 24 to get 44.

$$6x=44$$

Divide both sides by 6.

$$x=\frac{44}{6}$$

Reduce the fraction \frac{44}{6} to lowest terms by extracting and canceling out 2.

$$x=\frac{22}{3}$$