Solve -1/5x-2/3=-3/4

$$- \frac { 1 } { 5 } x - \frac { 2 } { 3 } = - \frac { 3 } { 4 }$$

Solve for x

$$x=\frac{5}{12}\approx 0.416666667$$

Steps for Solving Linear Equation

Add \frac{2}{3} to both sides.

$$-\frac{1}{5}x=-\frac{3}{4}+\frac{2}{3}$$

Least common multiple of 4 and 3 is 12. Convert -\frac{3}{4} and \frac{2}{3} to fractions with denominator 12.

$$-\frac{1}{5}x=-\frac{9}{12}+\frac{8}{12}$$

Since -\frac{9}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$-\frac{1}{5}x=\frac{-9+8}{12}$$

Add -9 and 8 to get -1.

$$-\frac{1}{5}x=-\frac{1}{12}$$

Multiply both sides by -5, the reciprocal of -\frac{1}{5}.

$$x=-\frac{1}{12}\left(-5\right)$$

Express -\frac{1}{12}\left(-5\right) as a single fraction.

$$x=\frac{-\left(-5\right)}{12}$$

Multiply -1 and -5 to get 5.

$$x=\frac{5}{12}$$