Solve 1/3x+1/2=15/16

$$\frac { 1 } { 3 x } + \frac { 1 } { 2 } = \frac { 15 } { 16 }$$

Solve for x

$$x=\frac{16}{21}\approx 0.761904762$$

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 48x, the least common multiple of 3x,2,16.

$$16+48x\times \frac{1}{2}=45x$$

Multiply 48 and \frac{1}{2} to get 24.

$$16+24x=45x$$

Subtract 45x from both sides.

$$16+24x-45x=0$$

Combine 24x and -45x to get -21x.

$$16-21x=0$$

Subtract 16 from both sides. Anything subtracted from zero gives its negation.

$$-21x=-16$$

Divide both sides by -21.

$$x=\frac{-16}{-21}$$

Fraction \frac{-16}{-21} can be simplified to \frac{16}{21} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{16}{21}$$