Solve 6/x+2=12/22

$$\frac { 6 } { x + 2 } = \frac { 12 } { 22 }$$

Solve for x

$$x=9$$

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 22\left(x+2\right), the least common multiple of x+2,22.

$$22\times 6=\left(x+2\right)\times 12$$

Multiply 22 and 6 to get 132.

$$132=\left(x+2\right)\times 12$$

Use the distributive property to multiply x+2 by 12.

$$132=12x+24$$

Swap sides so that all variable terms are on the left hand side.

$$12x+24=132$$

Subtract 24 from both sides.

$$12x=132-24$$

Subtract 24 from 132 to get 108.

$$12x=108$$

Divide both sides by 12.

$$x=\frac{108}{12}$$

Divide 108 by 12 to get 9.

$$x=9$$