Solve 4/x+11/2=5/2x

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

Solve for x

$$x=-1$$

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

$$2\times 4+x\left(1\times 2+1\right)=5$$

Multiply 2 and 4 to get 8.

$$8+x\left(1\times 2+1\right)=5$$

Multiply 1 and 2 to get 2.

$$8+x\left(2+1\right)=5$$

Add 2 and 1 to get 3.

$$8+x\times 3=5$$

Subtract 8 from both sides.

$$x\times 3=5-8$$

Subtract 8 from 5 to get -3.

$$x\times 3=-3$$

Divide both sides by 3.

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

Divide -3 by 3 to get -1.

$$x=-1$$