Solve 3/2+1/x=74

$$\frac { 3 } { 2 } + \frac { 1 } { x } = 74$$

Solve for x

$$x=\frac{2}{145}\approx 0.013793103$$

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 2,x.

$$2x\times \frac{3}{2}+2=148x$$

Cancel out 2 and 2.

$$3x+2=148x$$

Subtract 148x from both sides.

$$3x+2-148x=0$$

Combine 3x and -148x to get -145x.

$$-145x+2=0$$

Subtract 2 from both sides. Anything subtracted from zero gives its negation.

$$-145x=-2$$

Divide both sides by -145.

$$x=\frac{-2}{-145}$$

Fraction \frac{-2}{-145} can be simplified to \frac{2}{145} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{2}{145}$$