Question

4 less than half a number is equal to 2 more than the number

Answer 1

Answer:

$-12$

Step-by-step explanation:

Let that number be $x$. We can build an equation, and solve for $x$.

$4$ less than half of $x$ is $x/2-4$.

$2$ more than $x$ is $x+2$.

We are given that the two quantities are equal, so we have that $x/2-4=x+2$.

Adding $4$ to both sides gives $x/2=x+6$.

Multiplying both sides by $2$ gives $x=2(x+6)=2x+12$.

Subtracting $2x$ from both sides gives $-x=12$.

Multiplying both sides by $-1$ gives $x=-12$.

So, the number is $\boxed{-12}$ and we're done!

The check is left as an exercise to the reader.