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

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

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Subtract x from both sides.

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

Combine \frac{3}{2}x and -x to get \frac{1}{2}x.

$$\frac{1}{2}x+1=\frac{1}{2}$$

Subtract 1 from both sides.

$$\frac{1}{2}x=\frac{1}{2}-1$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{1}{2}x=\frac{1}{2}-\frac{2}{2}$$

Since \frac{1}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{2}x=\frac{1-2}{2}$$

Subtract 2 from 1 to get -1.

$$\frac{1}{2}x=-\frac{1}{2}$$

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

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

Cancel out 2 and 2.

$$x=-1$$