Solve 5/6x-1/2=3/10x

$$\frac { 5 } { 6 x } - \frac { 1 } { 2 } = \frac { 3 } { 10 x }$$

Solve for x

$$x = \frac{16}{15} = 1\frac{1}{15} \approx 1.066666667$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 30x, the least common multiple of 6x,2,10x.

$$5\times 5+30x\left(-\frac{1}{2}\right)=3\times 3$$

Multiply 5 and 5 to get 25.

$$25+30x\left(-\frac{1}{2}\right)=3\times 3$$

Multiply 30 and -\frac{1}{2} to get -15.

$$25-15x=3\times 3$$

Multiply 3 and 3 to get 9.

$$25-15x=9$$

Subtract 25 from both sides.

$$-15x=9-25$$

Subtract 25 from 9 to get -16.

$$-15x=-16$$

Divide both sides by -15.

$$x=\frac{-16}{-15}$$

Fraction \frac{-16}{-15} can be simplified to \frac{16}{15} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{16}{15}$$