Solve 95+x/165+x=0.618

$$\frac{ 95+x }{ 165+x } =0.618$$

Solve for x

$$x = \frac{3485}{191} = 18\frac{47}{191} \approx 18.246073298$$

Steps for Solving Linear Equation

Variable x cannot be equal to -165 since division by zero is not defined. Multiply both sides of the equation by x+165.

$$95+x=0.618\left(x+165\right)$$

Use the distributive property to multiply 0.618 by x+165.

$$95+x=0.618x+101.97$$

Subtract 0.618x from both sides.

$$95+x-0.618x=101.97$$

Combine x and -0.618x to get 0.382x.

$$95+0.382x=101.97$$

Subtract 95 from both sides.

$$0.382x=101.97-95$$

Subtract 95 from 101.97 to get 6.97.

$$0.382x=6.97$$

Divide both sides by 0.382.

$$x=\frac{6.97}{0.382}$$

Expand \frac{6.97}{0.382} by multiplying both numerator and the denominator by 1000.

$$x=\frac{6970}{382}$$

Reduce the fraction \frac{6970}{382} to lowest terms by extracting and canceling out 2.

$$x=\frac{3485}{191}$$