Solve (3.8x+3.919*3950)div(3950+x)=3.85

$$(3.8x+3.919 \times 3950) \div (3950+x)=3.85$$

Solve for x

$$x=5451$$

Steps for Solving Linear Equation

Variable x cannot be equal to -3950 since division by zero is not defined. Multiply both sides of the equation by x+3950.

$$3.8x+3.919\times 3950=3.85\left(x+3950\right)$$

Multiply 3.919 and 3950 to get 15480.05.

$$3.8x+15480.05=3.85\left(x+3950\right)$$

Use the distributive property to multiply 3.85 by x+3950.

$$3.8x+15480.05=3.85x+15207.5$$

Subtract 3.85x from both sides.

$$3.8x+15480.05-3.85x=15207.5$$

Combine 3.8x and -3.85x to get -0.05x.

$$-0.05x+15480.05=15207.5$$

Subtract 15480.05 from both sides.

$$-0.05x=15207.5-15480.05$$

Subtract 15480.05 from 15207.5 to get -272.55.

$$-0.05x=-272.55$$

Divide both sides by -0.05.

$$x=\frac{-272.55}{-0.05}$$

Expand \frac{-272.55}{-0.05} by multiplying both numerator and the denominator by 100.

$$x=\frac{-27255}{-5}$$

Divide -27255 by -5 to get 5451.

$$x=5451$$