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

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

Solve for x

$$x = \frac{8}{5} = 1\frac{3}{5} = 1.6$$

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,4,2.

$$4\times 2+4x\left(-\frac{3}{4}\right)=2x$$

Multiply 4 and 2 to get 8.

$$8+4x\left(-\frac{3}{4}\right)=2x$$

Cancel out 4 and 4.

$$8-3x=2x$$

Subtract 2x from both sides.

$$8-3x-2x=0$$

Combine -3x and -2x to get -5x.

$$8-5x=0$$

Subtract 8 from both sides. Anything subtracted from zero gives its negation.

$$-5x=-8$$

Divide both sides by -5.

$$x=\frac{-8}{-5}$$

Fraction \frac{-8}{-5} can be simplified to \frac{8}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{8}{5}$$