Solve 1/2x+5/12=7/4x

$$\frac { 1 } { 2 x } + \frac { 5 } { 12 } = \frac { 7 } { 4 x }$$

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 12x, the least common multiple of 2x,12,4x.

$$6+12x\times \frac{5}{12}=3\times 7$$

Multiply 12 and \frac{5}{12} to get 5.

$$6+5x=3\times 7$$

Multiply 3 and 7 to get 21.

$$6+5x=21$$

Subtract 6 from both sides.

$$5x=21-6$$

Subtract 6 from 21 to get 15.

$$5x=15$$

Divide both sides by 5.

$$x=\frac{15}{5}$$

Divide 15 by 5 to get 3.

$$x=3$$