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

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

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

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 4x, the least common multiple of 4,x.

$$4x\times \frac{3}{4}-4\times \frac{19}{6}=-16x$$

Cancel out 4 and 4.

$$3x-4\times \frac{19}{6}=-16x$$

Express -4\times \frac{19}{6} as a single fraction.

$$3x+\frac{-4\times 19}{6}=-16x$$

Multiply -4 and 19 to get -76.

$$3x+\frac{-76}{6}=-16x$$

Reduce the fraction \frac{-76}{6} to lowest terms by extracting and canceling out 2.

$$3x-\frac{38}{3}=-16x$$

Add 16x to both sides.

$$3x-\frac{38}{3}+16x=0$$

Combine 3x and 16x to get 19x.

$$19x-\frac{38}{3}=0$$

Add \frac{38}{3} to both sides. Anything plus zero gives itself.

$$19x=\frac{38}{3}$$

Divide both sides by 19.

$$x=\frac{\frac{38}{3}}{19}$$

Express \frac{\frac{38}{3}}{19} as a single fraction.

$$x=\frac{38}{3\times 19}$$

Multiply 3 and 19 to get 57.

$$x=\frac{38}{57}$$

Reduce the fraction \frac{38}{57} to lowest terms by extracting and canceling out 19.

$$x=\frac{2}{3}$$