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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values 0,\frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 2x\left(2x-1\right), the least common multiple of 2x-1,2x.

$$2x\times 4-\left(2x-1\right)\times 3=\left(2x-1\right)\times 5$$

Multiply 2 and 4 to get 8.

$$8x-\left(2x-1\right)\times 3=\left(2x-1\right)\times 5$$

Use the distributive property to multiply 2x-1 by 3.

$$8x-\left(6x-3\right)=\left(2x-1\right)\times 5$$

To find the opposite of 6x-3, find the opposite of each term.

$$8x-6x+3=\left(2x-1\right)\times 5$$

Combine 8x and -6x to get 2x.

$$2x+3=\left(2x-1\right)\times 5$$

Use the distributive property to multiply 2x-1 by 5.

$$2x+3=10x-5$$

Subtract 10x from both sides.

$$2x+3-10x=-5$$

Combine 2x and -10x to get -8x.

$$-8x+3=-5$$

Subtract 3 from both sides.

$$-8x=-5-3$$

Subtract 3 from -5 to get -8.

$$-8x=-8$$

Divide both sides by -8.

$$x=\frac{-8}{-8}$$

Divide -8 by -8 to get 1.

$$x=1$$