Solve 1.5/100-1.33/x=0.17/200

$$\frac { 1.5 } { 100 } - \frac { 1.33 } { x } = \frac { 0.17 } { 200 }$$

Solve for x

$$x = \frac{26600}{283} = 93\frac{281}{283} \approx 93.992932862$$

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 100,x,200.

$$2x\times 1.5-200\times 1.33=x\times 0.17$$

Multiply 2 and 1.5 to get 3.

$$3x-200\times 1.33=x\times 0.17$$

Multiply -200 and 1.33 to get -266.

$$3x-266=x\times 0.17$$

Subtract x\times 0.17 from both sides.

$$3x-266-x\times 0.17=0$$

Combine 3x and -x\times 0.17 to get 2.83x.

$$2.83x-266=0$$

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

$$2.83x=266$$

Divide both sides by 2.83.

$$x=\frac{266}{2.83}$$

Expand \frac{266}{2.83} by multiplying both numerator and the denominator by 100.

$$x=\frac{26600}{283}$$