Solve a+1/a=1+a-2/2a

$$\frac { a + 1 } { a } = 1 + \frac { a - 2 } { 2 a }$$

Solve for a

$$a=4$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2a, the least common multiple of a,2a.

$$2\left(a+1\right)=2a+a-2$$

Use the distributive property to multiply 2 by a+1.

$$2a+2=2a+a-2$$

Combine 2a and a to get 3a.

$$2a+2=3a-2$$

Subtract 3a from both sides.

$$2a+2-3a=-2$$

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

$$-a+2=-2$$

Subtract 2 from both sides.

$$-a=-2-2$$

Subtract 2 from -2 to get -4.

$$-a=-4$$

Multiply both sides by -1.

$$a=4$$