Solve 1/2-3/4+1/2=2/x

$$\frac{ 1 }{ 2 } - \frac{ 3 }{ 4 } + \frac{ 1 }{ 2 } = \frac{ 2 }{ x }$$

Solve for x

$$x=8$$

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 2,4,x.

$$4x\times \frac{1}{2}+4x\left(-\frac{3}{4}\right)+4x\times \frac{1}{2}=4\times 2$$

Multiply 4 and \frac{1}{2} to get \frac{4}{2}.

$$\frac{4}{2}x+4x\left(-\frac{3}{4}\right)+4x\times \frac{1}{2}=4\times 2$$

Divide 4 by 2 to get 2.

$$2x+4x\left(-\frac{3}{4}\right)+4x\times \frac{1}{2}=4\times 2$$

Cancel out 4 and 4.

$$2x-3x+4x\times \frac{1}{2}=4\times 2$$

Combine 2x and -3x to get -x.

$$-x+4x\times \frac{1}{2}=4\times 2$$

Multiply 4 and \frac{1}{2} to get \frac{4}{2}.

$$-x+\frac{4}{2}x=4\times 2$$

Divide 4 by 2 to get 2.

$$-x+2x=4\times 2$$

Combine -x and 2x to get x.

$$x=4\times 2$$

Multiply 4 and 2 to get 8.

$$x=8$$