Solve 2/x-x-3/2x=2

$$\frac { 2 } { x } - \frac { x - 3 } { 2 x } = 2$$

Solve for x

$$x = \frac{7}{5} = 1\frac{2}{5} = 1.4$$

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,2x.

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

Multiply 2 and 2 to get 4.

$$4-\left(x-3\right)=4x$$

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

$$4-x+3=4x$$

Add 4 and 3 to get 7.

$$7-x=4x$$

Subtract 4x from both sides.

$$7-x-4x=0$$

Combine -x and -4x to get -5x.

$$7-5x=0$$

Subtract 7 from both sides. Anything subtracted from zero gives its negation.

$$-5x=-7$$

Divide both sides by -5.

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

Fraction \frac{-7}{-5} can be simplified to \frac{7}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{7}{5}$$