Solve 3x+6/x-4=6

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

Solve for x

$$x=10$$

Steps for Solving Linear Equation

Variable x cannot be equal to 4 since division by zero is not defined. Multiply both sides of the equation by x-4.

$$3x+6=6\left(x-4\right)$$

Use the distributive property to multiply 6 by x-4.

$$3x+6=6x-24$$

Subtract 6x from both sides.

$$3x+6-6x=-24$$

Combine 3x and -6x to get -3x.

$$-3x+6=-24$$

Subtract 6 from both sides.

$$-3x=-24-6$$

Subtract 6 from -24 to get -30.

$$-3x=-30$$

Divide both sides by -3.

$$x=\frac{-30}{-3}$$

Divide -30 by -3 to get 10.

$$x=10$$