Solve 4+x/8+x=0.75

$$\frac{ 4+x }{ 8+x } =0.75$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Variable x cannot be equal to -8 since division by zero is not defined. Multiply both sides of the equation by x+8.

$$4+x=0.75\left(x+8\right)$$

Use the distributive property to multiply 0.75 by x+8.

$$4+x=0.75x+6$$

Subtract 0.75x from both sides.

$$4+x-0.75x=6$$

Combine x and -0.75x to get 0.25x.

$$4+0.25x=6$$

Subtract 4 from both sides.

$$0.25x=6-4$$

Subtract 4 from 6 to get 2.

$$0.25x=2$$

Divide both sides by 0.25.

$$x=\frac{2}{0.25}$$

Expand \frac{2}{0.25} by multiplying both numerator and the denominator by 100.

$$x=\frac{200}{25}$$

Divide 200 by 25 to get 8.

$$x=8$$