Solve 2/x+3/2=13/6

$$\frac { 2 } { x } + \frac { 3 } { 2 } = \frac { 13 } { 6 }$$

Solve for x

$$x=3$$

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 6x, the least common multiple of x,2,6.

$$6\times 2+6x\times \frac{3}{2}=13x$$

Multiply 6 and 2 to get 12.

$$12+6x\times \frac{3}{2}=13x$$

Express 6\times \frac{3}{2} as a single fraction.

$$12+\frac{6\times 3}{2}x=13x$$

Multiply 6 and 3 to get 18.

$$12+\frac{18}{2}x=13x$$

Divide 18 by 2 to get 9.

$$12+9x=13x$$

Subtract 13x from both sides.

$$12+9x-13x=0$$

Combine 9x and -13x to get -4x.

$$12-4x=0$$

Subtract 12 from both sides. Anything subtracted from zero gives its negation.

$$-4x=-12$$

Divide both sides by -4.

$$x=\frac{-12}{-4}$$

Divide -12 by -4 to get 3.

$$x=3$$