Question

Write an equivalent variable expression.

$-2\left(x+4\right)$

Short answer

Equivalent variable equation of given equation is $-2x-8$.

Step-by-step solution

Step-1- Concept of Distributive property of multiplication.

According to the distributive property of multiplication, when we multiply a number with the sum of two or more addends, we get a result that is equal to the result that is obtained when we multiply each addend separately by the number.

$A\times \left(B+C\right)=AB+AC$.

Step-2-Evaluating given expressions

$-2\left(x+4\right)$

Using Distributive property of multiplication, the above expression can be written as

$-2\left(x+4\right)=-2\left(x\right)-2\left(4\right)$

$-2\left(x+4\right)=-2x-8$

Step-3-Conclusion

Therefore, the equivalent variable equation of given equation is $-2x-8$.