Solve 6+1/x+4=5

$$6 + \frac { 1 } { x + 4 } = 5$$

Solve for x

$$x=-5$$

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.

$$\left(x+4\right)\times 6+1=5\left(x+4\right)$$

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

$$6x+24+1=5\left(x+4\right)$$

Add 24 and 1 to get 25.

$$6x+25=5\left(x+4\right)$$

Use the distributive property to multiply 5 by x+4.

$$6x+25=5x+20$$

Subtract 5x from both sides.

$$6x+25-5x=20$$

Combine 6x and -5x to get x.

$$x+25=20$$

Subtract 25 from both sides.

$$x=20-25$$

Subtract 25 from 20 to get -5.

$$x=-5$$