Solve 7/2-x/x=3/4

$$\frac { \frac { 7 } { 2 } - x } { x } = \frac { 3 } { 4 }$$

Solve for x

$$x=2$$

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.

$$4\left(\frac{7}{2}-x\right)=3x$$

Use the distributive property to multiply 4 by \frac{7}{2}-x.

$$4\times \frac{7}{2}-4x=3x$$

Express 4\times \frac{7}{2} as a single fraction.

$$\frac{4\times 7}{2}-4x=3x$$

Multiply 4 and 7 to get 28.

$$\frac{28}{2}-4x=3x$$

Divide 28 by 2 to get 14.

$$14-4x=3x$$

Subtract 3x from both sides.

$$14-4x-3x=0$$

Combine -4x and -3x to get -7x.

$$14-7x=0$$

Subtract 14 from both sides. Anything subtracted from zero gives its negation.

$$-7x=-14$$

Divide both sides by -7.

$$x=\frac{-14}{-7}$$

Divide -14 by -7 to get 2.

$$x=2$$