Solve 2/3-2/4x=6

$$\frac { 2 } { 3 } - \frac { 2 } { 4 } x = 6$$

Solve for x

$$x = -\frac{32}{3} = -10\frac{2}{3} \approx -10.666666667$$

Steps for Solving Linear Equation

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

$$\frac{2}{3}-\frac{1}{2}x=6$$

Subtract \frac{2}{3} from both sides.

$$-\frac{1}{2}x=6-\frac{2}{3}$$

Convert 6 to fraction \frac{18}{3}.

$$-\frac{1}{2}x=\frac{18}{3}-\frac{2}{3}$$

Since \frac{18}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{1}{2}x=\frac{18-2}{3}$$

Subtract 2 from 18 to get 16.

$$-\frac{1}{2}x=\frac{16}{3}$$

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

$$x=\frac{16}{3}\left(-2\right)$$

Express \frac{16}{3}\left(-2\right) as a single fraction.

$$x=\frac{16\left(-2\right)}{3}$$

Multiply 16 and -2 to get -32.

$$x=\frac{-32}{3}$$

Fraction \frac{-32}{3} can be rewritten as -\frac{32}{3} by extracting the negative sign.

$$x=-\frac{32}{3}$$