Solve for x 6+1/(x+4)=5

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

Move all terms not containing $x$ to the right side of the equation.

Subtract $6$ from both sides of the equation.

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

Subtract $6$ from $5$ .

$\frac{1}{x + 4} = - 1$

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$x + 4, 1$

Remove parentheses.

$x + 4, 1$

The LCM of one and any expression is the expression.

$x + 4$

Multiply each term in $\frac{1}{x + 4} = - 1$ by $x + 4$ to eliminate the fractions.

Multiply each term in $\frac{1}{x + 4} = - 1$ by $x + 4$ .

$\frac{1}{x + 4} (x + 4) = - (x + 4)$

Simplify the left side.

Cancel the common factor of $x + 4$ .

Cancel the common factor.

$\frac{1}{x + 4} (x + 4) = - (x + 4)$

Rewrite the expression.

$1 = - (x + 4)$

Simplify the right side.

Apply the distributive property.

$1 = - x - 1 \cdot 4$

Multiply $- 1$ by $4$ .

$1 = - x - 4$

Solve the equation.

Rewrite the equation as $- x - 4 = 1$ .

$- x - 4 = 1$

Move all terms not containing $x$ to the right side of the equation.

Add $4$ to both sides of the equation.

$- x = 1 + 4$

Add $1$ and $4$ .

$- x = 5$

Divide each term in $- x = 5$ by $- 1$ and simplify.

Divide each term in $- x = 5$ by $- 1$ .

$\frac{- x}{- 1} = \frac{5}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{5}{- 1}$

Divide $x$ by $1$ .

$x = \frac{5}{- 1}$

Simplify the right side.

Divide $5$ by $- 1$ .

$x = - 5$

Solve for x 6+1/(x+4)=5

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