Solve 6=10+8/x+2

$$6=10+ \frac{ 8 }{ x+2 }$$

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by x+2.

$$6\left(x+2\right)=\left(x+2\right)\times 10+8$$

Use the distributive property to multiply 6 by x+2.

$$6x+12=\left(x+2\right)\times 10+8$$

Use the distributive property to multiply x+2 by 10.

$$6x+12=10x+20+8$$

Add 20 and 8 to get 28.

$$6x+12=10x+28$$

Subtract 10x from both sides.

$$6x+12-10x=28$$

Combine 6x and -10x to get -4x.

$$-4x+12=28$$

Subtract 12 from both sides.

$$-4x=28-12$$

Subtract 12 from 28 to get 16.

$$-4x=16$$

Divide both sides by -4.

$$x=\frac{16}{-4}$$

Divide 16 by -4 to get -4.

$$x=-4$$