Solve 12x/(x-8)=5

$$\frac { 12 x } { ( x - 8 ) } = 5$$

Solve for x

$$x = -\frac{40}{7} = -5\frac{5}{7} \approx -5.714285714$$

Steps for Solving Linear Equation

Variable x cannot be equal to 8 since division by zero is not defined. Multiply both sides of the equation by x-8.

$$12x=5\left(x-8\right)$$

Use the distributive property to multiply 5 by x-8.

$$12x=5x-40$$

Subtract 5x from both sides.

$$12x-5x=-40$$

Combine 12x and -5x to get 7x.

$$7x=-40$$

Divide both sides by 7.

$$x=\frac{-40}{7}$$

Fraction \frac{-40}{7} can be rewritten as -\frac{40}{7} by extracting the negative sign.

$$x=-\frac{40}{7}$$