Solve x+3/x=12*8/8

$$\frac{ x+3 }{ x } = \frac{ 12 \cdot 8 }{ 8 }$$

Solve for x

$$x=\frac{3}{11}\approx 0.272727273$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 8x, the least common multiple of x,8.

$$8\left(x+3\right)=x\times 12\times 8$$

Use the distributive property to multiply 8 by x+3.

$$8x+24=x\times 12\times 8$$

Multiply 12 and 8 to get 96.

$$8x+24=x\times 96$$

Subtract x\times 96 from both sides.

$$8x+24-x\times 96=0$$

Combine 8x and -x\times 96 to get -88x.

$$-88x+24=0$$

Subtract 24 from both sides. Anything subtracted from zero gives its negation.

$$-88x=-24$$

Divide both sides by -88.

$$x=\frac{-24}{-88}$$

Reduce the fraction \frac{-24}{-88} to lowest terms by extracting and canceling out -8.

$$x=\frac{3}{11}$$