Solve 26/x-26*4/3x=0.6

$$\frac{ 26 }{ x } - \frac{ 26 \times 4 }{ 3x } =0.6$$

Solve for x

$$x = -\frac{130}{9} = -14\frac{4}{9} \approx -14.444444444$$

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 3x, the least common multiple of x,3x.

$$3\times 26-26\times 4=1.8x$$

Do the multiplications.

$$78-104=1.8x$$

Subtract 104 from 78 to get -26.

$$-26=1.8x$$

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

$$1.8x=-26$$

Divide both sides by 1.8.

$$x=\frac{-26}{1.8}$$

Expand \frac{-26}{1.8} by multiplying both numerator and the denominator by 10.

$$x=\frac{-260}{18}$$

Reduce the fraction \frac{-260}{18} to lowest terms by extracting and canceling out 2.

$$x=-\frac{130}{9}$$