How to solve 2(n + 3) = m - 4

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 2(n + 3) = m - 4 | Equatix

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Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$2(n+3)=m-4$$

Solve for m

$m=2\left(n+5\right)$

Solution Steps

Use the distributive property to multiply $2$ by $n+3$.

$$2n+6=m-4$$

Swap sides so that all variable terms are on the left hand side.

$$m-4=2n+6$$

Add $4$ to both sides.

$$m=2n+6+4$$

Add $6$ and $4$ to get $10$.

$$m=2n+10$$

Show Solution

Solve for n

$n=\frac{m-10}{2}$

Steps for Solving Linear Equation

Use the distributive property to multiply $2$ by $n+3$.

$$2n+6=m-4$$

Subtract $6$ from both sides.

$$2n=m-4-6$$

Subtract $6$ from $-4$ to get $-10$.

$$2n=m-10$$

Divide both sides by $2$.

$$\frac{2n}{2}=\frac{m-10}{2}$$

Dividing by $2$ undoes the multiplication by $2$.

$$n=\frac{m-10}{2}$$

Divide $m-10$ by $2$.

$$n=\frac{m}{2}-5$$

Show Solution

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