Solve (3x+500)/(5x-500)=5/3

$$\frac { ( 3 x + 500 ) } { ( 5 x - 500 ) } = \frac { 5 } { 3 }$$

Solve for x

$$x=250$$

Steps for Solving Linear Equation

Variable x cannot be equal to 100 since division by zero is not defined. Multiply both sides of the equation by 15\left(x-100\right), the least common multiple of 5x-500,3.

$$3\left(3x+500\right)=25\left(x-100\right)$$

Use the distributive property to multiply 3 by 3x+500.

$$9x+1500=25\left(x-100\right)$$

Use the distributive property to multiply 25 by x-100.

$$9x+1500=25x-2500$$

Subtract 25x from both sides.

$$9x+1500-25x=-2500$$

Combine 9x and -25x to get -16x.

$$-16x+1500=-2500$$

Subtract 1500 from both sides.

$$-16x=-2500-1500$$

Subtract 1500 from -2500 to get -4000.

$$-16x=-4000$$

Divide both sides by -16.

$$x=\frac{-4000}{-16}$$

Divide -4000 by -16 to get 250.

$$x=250$$