Solve x*10/x+10=6.25

$$\frac { x \times 10 } { x + 10 } = 6.25$$

Solve for x

$$x = \frac{50}{3} = 16\frac{2}{3} \approx 16.666666667$$

Steps for Solving Linear Equation

Variable x cannot be equal to -10 since division by zero is not defined. Multiply both sides of the equation by x+10.

$$x\times 10=6.25\left(x+10\right)$$

Use the distributive property to multiply 6.25 by x+10.

$$x\times 10=6.25x+62.5$$

Subtract 6.25x from both sides.

$$x\times 10-6.25x=62.5$$

Combine x\times 10 and -6.25x to get 3.75x.

$$3.75x=62.5$$

Divide both sides by 3.75.

$$x=\frac{62.5}{3.75}$$

Expand \frac{62.5}{3.75} by multiplying both numerator and the denominator by 100.

$$x=\frac{6250}{375}$$

Reduce the fraction \frac{6250}{375} to lowest terms by extracting and canceling out 125.

$$x=\frac{50}{3}$$