Solve x/x+44=0.46

$$\frac { x } { x + 44 } = 0.46$$

Solve for x

$$x = \frac{1012}{27} = 37\frac{13}{27} \approx 37.481481481$$

Steps for Solving Linear Equation

Variable x cannot be equal to -44 since division by zero is not defined. Multiply both sides of the equation by x+44.

$$x=0.46\left(x+44\right)$$

Use the distributive property to multiply 0.46 by x+44.

$$x=0.46x+20.24$$

Subtract 0.46x from both sides.

$$x-0.46x=20.24$$

Combine x and -0.46x to get 0.54x.

$$0.54x=20.24$$

Divide both sides by 0.54.

$$x=\frac{20.24}{0.54}$$

Expand \frac{20.24}{0.54} by multiplying both numerator and the denominator by 100.

$$x=\frac{2024}{54}$$

Reduce the fraction \frac{2024}{54} to lowest terms by extracting and canceling out 2.

$$x=\frac{1012}{27}$$