Solve 3/a=19/3a-5/3

$$\frac { 3 } { a } = \frac { 19 } { 3 a } - \frac { 5 } { 3 }$$

Solve for a

$$a=2$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3a, the least common multiple of a,3a,3.

$$3\times 3=19+3a\left(-\frac{5}{3}\right)$$

Multiply 3 and 3 to get 9.

$$9=19+3a\left(-\frac{5}{3}\right)$$

Multiply 3 and -\frac{5}{3} to get -5.

$$9=19-5a$$

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

$$19-5a=9$$

Subtract 19 from both sides.

$$-5a=9-19$$

Subtract 19 from 9 to get -10.

$$-5a=-10$$

Divide both sides by -5.

$$a=\frac{-10}{-5}$$

Divide -10 by -5 to get 2.

$$a=2$$