Solve 17/5x=2-7/x

$$\frac{ 17 }{ 5x } =2- \frac{ 7 }{ x }$$

Solve for x

$$x = \frac{26}{5} = 5\frac{1}{5} = 5.2$$

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 5x, the least common multiple of 5x,x.

$$17=5x\times 2-5\times 7$$

Multiply 5 and 2 to get 10.

$$17=10x-5\times 7$$

Multiply -5 and 7 to get -35.

$$17=10x-35$$

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

$$10x-35=17$$

Add 35 to both sides.

$$10x=17+35$$

Add 17 and 35 to get 52.

$$10x=52$$

Divide both sides by 10.

$$x=\frac{52}{10}$$

Reduce the fraction \frac{52}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{26}{5}$$