Solve 65+x/75+x=0.9

$$\frac{ 65+x }{ 75+x } = 0.9$$

Solve for x

$$x=25$$

Steps for Solving Linear Equation

Variable x cannot be equal to -75 since division by zero is not defined. Multiply both sides of the equation by x+75.

$$65+x=0.9\left(x+75\right)$$

Use the distributive property to multiply 0.9 by x+75.

$$65+x=0.9x+67.5$$

Subtract 0.9x from both sides.

$$65+x-0.9x=67.5$$

Combine x and -0.9x to get 0.1x.

$$65+0.1x=67.5$$

Subtract 65 from both sides.

$$0.1x=67.5-65$$

Subtract 65 from 67.5 to get 2.5.

$$0.1x=2.5$$

Divide both sides by 0.1.

$$x=\frac{2.5}{0.1}$$

Expand \frac{2.5}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$x=25$$