Solve 1.5/200-1.33/x=0.17/200

$$\frac { 1.5 } { 200 } - \frac { 1.33 } { x } = \frac { 0.17 } { 200 }$$

Solve for x

$$x=200$$

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 200x, the least common multiple of 200,x.

$$x\times 1.5-200\times 1.33=x\times 0.17$$

Multiply -200 and 1.33 to get -266.

$$x\times 1.5-266=x\times 0.17$$

Subtract x\times 0.17 from both sides.

$$x\times 1.5-266-x\times 0.17=0$$

Combine x\times 1.5 and -x\times 0.17 to get 1.33x.

$$1.33x-266=0$$

Add 266 to both sides. Anything plus zero gives itself.

$$1.33x=266$$

Divide both sides by 1.33.

$$x=\frac{266}{1.33}$$

Expand \frac{266}{1.33} by multiplying both numerator and the denominator by 100.

$$x=\frac{26600}{133}$$

Divide 26600 by 133 to get 200.

$$x=200$$