Solve m-2(6)/m+2(6)=3/6

$$\frac { m - 2 ( 6 ) } { m + 2 ( 6 ) } = \frac { 3 } { 6 }$$

Solve for m

$$m=36$$

Steps for Solving Linear Equation

Variable m cannot be equal to -12 since division by zero is not defined. Multiply both sides of the equation by 6\left(m+12\right), the least common multiple of m+2\times 6,6.

$$6\left(m-2\times 6\right)=\left(m+12\right)\times 3$$

Multiply 2 and 6 to get 12.

$$6\left(m-12\right)=\left(m+12\right)\times 3$$

Use the distributive property to multiply 6 by m-12.

$$6m-72=\left(m+12\right)\times 3$$

Use the distributive property to multiply m+12 by 3.

$$6m-72=3m+36$$

Subtract 3m from both sides.

$$6m-72-3m=36$$

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

$$3m-72=36$$

Add 72 to both sides.

$$3m=36+72$$

Add 36 and 72 to get 108.

$$3m=108$$

Divide both sides by 3.

$$m=\frac{108}{3}$$

Divide 108 by 3 to get 36.

$$m=36$$