Solve 8/+2-6=4/c+2

$$\frac { 8 } { + 2 } - 6 = \frac { 4 } { c + 2 }$$

Solve for c

$$c=-4$$

Steps for Solving Linear Equation

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

$$\left(c+2\right)\times 8+2\left(c+2\right)\left(-6\right)=2\times 4$$

Use the distributive property to multiply c+2 by 8.

$$8c+16+2\left(c+2\right)\left(-6\right)=2\times 4$$

Multiply 2 and -6 to get -12.

$$8c+16-12\left(c+2\right)=2\times 4$$

Use the distributive property to multiply -12 by c+2.

$$8c+16-12c-24=2\times 4$$

Combine 8c and -12c to get -4c.

$$-4c+16-24=2\times 4$$

Subtract 24 from 16 to get -8.

$$-4c-8=2\times 4$$

Multiply 2 and 4 to get 8.

$$-4c-8=8$$

Add 8 to both sides.

$$-4c=8+8$$

Add 8 and 8 to get 16.

$$-4c=16$$

Divide both sides by -4.

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

Divide 16 by -4 to get -4.

$$c=-4$$