Solve 2x-7/x=17/5

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

Solve for x

$$x=-5$$

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 x,5.

$$5\left(2x-7\right)=17x$$

Use the distributive property to multiply 5 by 2x-7.

$$10x-35=17x$$

Subtract 17x from both sides.

$$10x-35-17x=0$$

Combine 10x and -17x to get -7x.

$$-7x-35=0$$

Add 35 to both sides. Anything plus zero gives itself.

$$-7x=35$$

Divide both sides by -7.

$$x=\frac{35}{-7}$$

Divide 35 by -7 to get -5.

$$x=-5$$