Solve (n + 3)/(5 + n) = 3 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{n+3}{5+n}=3$$

Solve for n

$n=-6$

Steps for Solving Linear Equation

Variable $n$ cannot be equal to $-5$ since division by zero is not defined. Multiply both sides of the equation by $n+5$.

$$n+3=3\left(n+5\right)$$

Use the distributive property to multiply $3$ by $n+5$.

$$n+3=3n+15$$

Subtract $3n$ from both sides.

$$n+3-3n=15$$

Combine $n$ and $-3n$ to get $-2n$.

$$-2n+3=15$$

Subtract $3$ from both sides.

$$-2n=15-3$$

Subtract $3$ from $15$ to get $12$.

$$-2n=12$$

Divide both sides by $-2$.

$$n=\frac{12}{-2}$$

Divide $12$ by $-2$ to get $-6$.

$$n=-6$$