Solve 6-8x/5x=4/1

$$\frac { 6 - 8 x } { 5 x } = \frac { 4 } { 1 }$$

Solve for x

$$x=\frac{3}{14}\approx 0.214285714$$

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 5x.

$$6-8x=5x\times 4$$

Multiply 5 and 4 to get 20.

$$6-8x=20x$$

Subtract 20x from both sides.

$$6-8x-20x=0$$

Combine -8x and -20x to get -28x.

$$6-28x=0$$

Subtract 6 from both sides. Anything subtracted from zero gives its negation.

$$-28x=-6$$

Divide both sides by -28.

$$x=\frac{-6}{-28}$$

Reduce the fraction \frac{-6}{-28} to lowest terms by extracting and canceling out -2.

$$x=\frac{3}{14}$$