Solve 5/2x=1/x+3/4

$$\frac { 5 } { 2 x } = \frac { 1 } { x } + \frac { 3 } { 4 }$$

Solve for x

$$x=2$$

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

$$2\times 5=4+4x\times \frac{3}{4}$$

Multiply 2 and 5 to get 10.

$$10=4+4x\times \frac{3}{4}$$

Multiply 4 and \frac{3}{4} to get 3.

$$10=4+3x$$

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

$$4+3x=10$$

Subtract 4 from both sides.

$$3x=10-4$$

Subtract 4 from 10 to get 6.

$$3x=6$$

Divide both sides by 3.

$$x=\frac{6}{3}$$

Divide 6 by 3 to get 2.

$$x=2$$