Solve 3/9-19/6:x=-4

$$\frac { 3 } { 9 } - \frac { 19 } { 6 } : x = - 4$$

Solve for x

$$x=\frac{19}{26}\approx 0.730769231$$

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 9x, the least common multiple of 9,x.

$$x\times 3-9\times \frac{19}{6}=-36x$$

Express -9\times \frac{19}{6} as a single fraction.

$$x\times 3+\frac{-9\times 19}{6}=-36x$$

Multiply -9 and 19 to get -171.

$$x\times 3+\frac{-171}{6}=-36x$$

Reduce the fraction \frac{-171}{6} to lowest terms by extracting and canceling out 3.

$$x\times 3-\frac{57}{2}=-36x$$

Add 36x to both sides.

$$x\times 3-\frac{57}{2}+36x=0$$

Combine x\times 3 and 36x to get 39x.

$$39x-\frac{57}{2}=0$$

Add \frac{57}{2} to both sides. Anything plus zero gives itself.

$$39x=\frac{57}{2}$$

Divide both sides by 39.

$$x=\frac{\frac{57}{2}}{39}$$

Express \frac{\frac{57}{2}}{39} as a single fraction.

$$x=\frac{57}{2\times 39}$$

Multiply 2 and 39 to get 78.

$$x=\frac{57}{78}$$

Reduce the fraction \frac{57}{78} to lowest terms by extracting and canceling out 3.

$$x=\frac{19}{26}$$