Solve 2.4/x=3.6/x-4

$$\frac{ 2.4 }{ x } = \frac{ 3.6 }{ x-4 }$$

Solve for x

$$x=-8$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values 0,4 since division by zero is not defined. Multiply both sides of the equation by x\left(x-4\right), the least common multiple of x,x-4.

$$\left(x-4\right)\times 2.4=x\times 3.6$$

Use the distributive property to multiply x-4 by 2.4.

$$2.4x-9.6=x\times 3.6$$

Subtract x\times 3.6 from both sides.

$$2.4x-9.6-x\times 3.6=0$$

Combine 2.4x and -x\times 3.6 to get -1.2x.

$$-1.2x-9.6=0$$

Add 9.6 to both sides. Anything plus zero gives itself.

$$-1.2x=9.6$$

Divide both sides by -1.2.

$$x=\frac{9.6}{-1.2}$$

Expand \frac{9.6}{-1.2} by multiplying both numerator and the denominator by 10.

$$x=\frac{96}{-12}$$

Divide 96 by -12 to get -8.

$$x=-8$$