Solve x+45/x=2/16

$$\frac{ x+45 }{ x } = \frac{ 2 }{ 16 }$$

Solve for x

$$x = -\frac{360}{7} = -51\frac{3}{7} \approx -51.428571429$$

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 16x, the least common multiple of x,16.

$$16\left(x+45\right)=x\times 2$$

Use the distributive property to multiply 16 by x+45.

$$16x+720=x\times 2$$

Subtract x\times 2 from both sides.

$$16x+720-x\times 2=0$$

Combine 16x and -x\times 2 to get 14x.

$$14x+720=0$$

Subtract 720 from both sides. Anything subtracted from zero gives its negation.

$$14x=-720$$

Divide both sides by 14.

$$x=\frac{-720}{14}$$

Reduce the fraction \frac{-720}{14} to lowest terms by extracting and canceling out 2.

$$x=-\frac{360}{7}$$