Solve x/8-2=5x/6

$$\frac{ x }{ 8 } -2 = \frac{ 5x }{ 6 }$$

Solve for x

$$x = -\frac{48}{17} = -2\frac{14}{17} \approx -2.823529412$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 8,6.

$$3x-48=4\times 5x$$

Multiply 4 and 5 to get 20.

$$3x-48=20x$$

Subtract 20x from both sides.

$$3x-48-20x=0$$

Combine 3x and -20x to get -17x.

$$-17x-48=0$$

Add 48 to both sides. Anything plus zero gives itself.

$$-17x=48$$

Divide both sides by -17.

$$x=\frac{48}{-17}$$

Fraction \frac{48}{-17} can be rewritten as -\frac{48}{17} by extracting the negative sign.

$$x=-\frac{48}{17}$$