Solve 3218=3000(343+x/343-x)

$$3218 = 3000 ( \frac { 343 + x } { 343 - x } )$$

Solve for x

$$x = \frac{37387}{3109} = 12\frac{79}{3109} \approx 12.0254101$$

Steps for Solving Linear Equation

Divide both sides by 3000.

$$\frac{3218}{3000}=\frac{343+x}{343-x}$$

Reduce the fraction \frac{3218}{3000} to lowest terms by extracting and canceling out 2.

$$\frac{1609}{1500}=\frac{343+x}{343-x}$$

Variable x cannot be equal to 343 since division by zero is not defined. Multiply both sides of the equation by 1500\left(x-343\right), the least common multiple of 1500,343-x.

$$1609\left(x-343\right)=-1500\left(343+x\right)$$

Use the distributive property to multiply 1609 by x-343.

$$1609x-551887=-1500\left(343+x\right)$$

Use the distributive property to multiply -1500 by 343+x.

$$1609x-551887=-514500-1500x$$

Add 1500x to both sides.

$$1609x-551887+1500x=-514500$$

Combine 1609x and 1500x to get 3109x.

$$3109x-551887=-514500$$

Add 551887 to both sides.

$$3109x=-514500+551887$$

Add -514500 and 551887 to get 37387.

$$3109x=37387$$

Divide both sides by 3109.

$$x=\frac{37387}{3109}$$