Solve x/2-3/4=x

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

Solve for x

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

Steps for Solving Linear Equation

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 4 is 4. Multiply \frac{x}{2} times \frac{2}{2}.

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

Since \frac{2x}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

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

Divide each term of 2x-3 by 4 to get \frac{1}{2}x-\frac{3}{4}.

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

Subtract x from both sides.

$$\frac{1}{2}x-\frac{3}{4}-x=0$$

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

$$-\frac{1}{2}x-\frac{3}{4}=0$$

Add \frac{3}{4} to both sides. Anything plus zero gives itself.

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

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

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

Express \frac{3}{4}\left(-2\right) as a single fraction.

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

Multiply 3 and -2 to get -6.

$$x=\frac{-6}{4}$$

Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.

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