Solve 200/x=5500/25x-1

$$\frac { 200 } { x } = \frac { 5500 } { 25 x } - 1$$

Solve for x

$$x=20$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 25x, the least common multiple of x,25x.

$$25\times 200=5500+25x\left(-1\right)$$

Multiply 25 and 200 to get 5000.

$$5000=5500+25x\left(-1\right)$$

Multiply 25 and -1 to get -25.

$$5000=5500-25x$$

Swap sides so that all variable terms are on the left hand side.

$$5500-25x=5000$$

Subtract 5500 from both sides.

$$-25x=5000-5500$$

Subtract 5500 from 5000 to get -500.

$$-25x=-500$$

Divide both sides by -25.

$$x=\frac{-500}{-25}$$

Divide -500 by -25 to get 20.

$$x=20$$