Solve 28/x=28*14/x+8

$$\frac { 28 } { x } = \frac { 28 \times 14 } { x + 8 }$$

Solve for x

$$x=\frac{8}{13}\approx 0.615384615$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -8,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+8\right), the least common multiple of x,x+8.

$$\left(x+8\right)\times 28=x\times 28\times 14$$

Use the distributive property to multiply x+8 by 28.

$$28x+224=x\times 28\times 14$$

Multiply 28 and 14 to get 392.

$$28x+224=x\times 392$$

Subtract x\times 392 from both sides.

$$28x+224-x\times 392=0$$

Combine 28x and -x\times 392 to get -364x.

$$-364x+224=0$$

Subtract 224 from both sides. Anything subtracted from zero gives its negation.

$$-364x=-224$$

Divide both sides by -364.

$$x=\frac{-224}{-364}$$

Reduce the fraction \frac{-224}{-364} to lowest terms by extracting and canceling out -28.

$$x=\frac{8}{13}$$