Solve 8/2+4/1=2/frac{1{2}}+6/x

$$\frac{ 8 }{ 2 } + \frac{ 4 }{ 1 } = \frac{ 2 }{ \frac{ 1 }{ 2 } } + \frac{ 6 }{ x }$$

Solve for x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

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

$$x\times 8+2x\times 4=2x\times \frac{2}{\frac{1}{2}}+2\times 6$$

Multiply 2 and 4 to get 8.

$$x\times 8+8x=2x\times \frac{2}{\frac{1}{2}}+2\times 6$$

Combine x\times 8 and 8x to get 16x.

$$16x=2x\times \frac{2}{\frac{1}{2}}+2\times 6$$

Divide 2 by \frac{1}{2} by multiplying 2 by the reciprocal of \frac{1}{2}.

$$16x=2x\times 2\times 2+2\times 6$$

Multiply 2 and 2 to get 4.

$$16x=2x\times 4+2\times 6$$

Multiply 2 and 4 to get 8.

$$16x=8x+2\times 6$$

Multiply 2 and 6 to get 12.

$$16x=8x+12$$

Subtract 8x from both sides.

$$16x-8x=12$$

Combine 16x and -8x to get 8x.

$$8x=12$$

Divide both sides by 8.

$$x=\frac{12}{8}$$

Reduce the fraction \frac{12}{8} to lowest terms by extracting and canceling out 4.

$$x=\frac{3}{2}$$