Solve 05-1/3x-1/2=1/4x

$$05- \frac{ 1 }{ 3 } x- \frac{ 1 }{ 2 } = \frac{ 1 }{ 4 } x$$

Solve for x

$$x=-\frac{6}{7}\approx -0.857142857$$

Steps for Solving Linear Equation

Multiply 0 and 5 to get 0.

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

Subtract \frac{1}{2} from 0 to get -\frac{1}{2}.

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

Subtract \frac{1}{4}x from both sides.

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

Combine -\frac{1}{3}x and -\frac{1}{4}x to get -\frac{7}{12}x.

$$-\frac{1}{2}-\frac{7}{12}x=0$$

Add \frac{1}{2} to both sides. Anything plus zero gives itself.

$$-\frac{7}{12}x=\frac{1}{2}$$

Multiply both sides by -\frac{12}{7}, the reciprocal of -\frac{7}{12}.

$$x=\frac{1}{2}\left(-\frac{12}{7}\right)$$

Multiply \frac{1}{2} times -\frac{12}{7} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\left(-12\right)}{2\times 7}$$

Do the multiplications in the fraction \frac{1\left(-12\right)}{2\times 7}.

$$x=\frac{-12}{14}$$

Reduce the fraction \frac{-12}{14} to lowest terms by extracting and canceling out 2.

$$x=-\frac{6}{7}$$