Solve 5/x=5/2x-1/4

$$\frac { 5 } { x } = \frac { 5 } { 2 x } - \frac { 1 } { 4 }$$

Solve for x

$$x=-10$$

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 4x, the least common multiple of x,2x,4.

$$4\times 5=2\times 5+4x\left(-\frac{1}{4}\right)$$

Multiply 4 and 5 to get 20.

$$20=2\times 5+4x\left(-\frac{1}{4}\right)$$

Multiply 2 and 5 to get 10.

$$20=10+4x\left(-\frac{1}{4}\right)$$

Multiply 4 and -\frac{1}{4} to get -1.

$$20=10-x$$

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

$$10-x=20$$

Subtract 10 from both sides.

$$-x=20-10$$

Subtract 10 from 20 to get 10.

$$-x=10$$

Multiply both sides by -1.

$$x=-10$$