Solve x+10/9x+10=0.15

$$\frac { x + 10 } { 9 x + 10 } = 0.15$$

Solve for x

$$x = \frac{170}{7} = 24\frac{2}{7} \approx 24.285714286$$

Steps for Solving Linear Equation

Variable x cannot be equal to -\frac{10}{9} since division by zero is not defined. Multiply both sides of the equation by 9x+10.

$$x+10=0.15\left(9x+10\right)$$

Use the distributive property to multiply 0.15 by 9x+10.

$$x+10=1.35x+1.5$$

Subtract 1.35x from both sides.

$$x+10-1.35x=1.5$$

Combine x and -1.35x to get -0.35x.

$$-0.35x+10=1.5$$

Subtract 10 from both sides.

$$-0.35x=1.5-10$$

Subtract 10 from 1.5 to get -8.5.

$$-0.35x=-8.5$$

Divide both sides by -0.35.

$$x=\frac{-8.5}{-0.35}$$

Expand \frac{-8.5}{-0.35} by multiplying both numerator and the denominator by 100.

$$x=\frac{-850}{-35}$$

Reduce the fraction \frac{-850}{-35} to lowest terms by extracting and canceling out -5.

$$x=\frac{170}{7}$$