Solve 1/3-1/2=-10x

$$\frac { 1 } { 3 } - \frac { 1 } { 2 } = - 10 x$$

Solve for x

$$x=\frac{1}{60}\approx 0.016666667$$

Steps for Solving Linear Equation

Least common multiple of 3 and 2 is 6. Convert \frac{1}{3} and \frac{1}{2} to fractions with denominator 6.

$$\frac{2}{6}-\frac{3}{6}=-10x$$

Since \frac{2}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-3}{6}=-10x$$

Subtract 3 from 2 to get -1.

$$-\frac{1}{6}=-10x$$

Swap sides so that all variable terms are on the left hand side.

$$-10x=-\frac{1}{6}$$

Divide both sides by -10.

$$x=\frac{-\frac{1}{6}}{-10}$$

Express \frac{-\frac{1}{6}}{-10} as a single fraction.

$$x=\frac{-1}{6\left(-10\right)}$$

Multiply 6 and -10 to get -60.

$$x=\frac{-1}{-60}$$

Fraction \frac{-1}{-60} can be simplified to \frac{1}{60} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{60}$$