Solve 600=340/340-x800

$$600 = \frac { 340 } { 340 - x } 800$$

Solve for x

$$x = -\frac{340}{3} = -113\frac{1}{3} \approx -113.333333333$$

Steps for Solving Linear Equation

Divide both sides by 800.

$$\frac{600}{800}=\frac{340}{340-x}$$

Reduce the fraction \frac{600}{800} to lowest terms by extracting and canceling out 200.

$$\frac{3}{4}=\frac{340}{340-x}$$

Variable x cannot be equal to 340 since division by zero is not defined. Multiply both sides of the equation by 4\left(x-340\right), the least common multiple of 4,340-x.

$$3\left(x-340\right)=-4\times 340$$

Use the distributive property to multiply 3 by x-340.

$$3x-1020=-4\times 340$$

Multiply -4 and 340 to get -1360.

$$3x-1020=-1360$$

Add 1020 to both sides.

$$3x=-1360+1020$$

Add -1360 and 1020 to get -340.

$$3x=-340$$

Divide both sides by 3.

$$x=\frac{-340}{3}$$

Fraction \frac{-340}{3} can be rewritten as -\frac{340}{3} by extracting the negative sign.

$$x=-\frac{340}{3}$$