Question

Can u guys PLEASE ANSWER this question ASAP.
Write an expression and solve it
the sum of x and 12 equals the sum of half of x and 5

Answer 1

Answer:

x = -14

Step-by-step explanation:

The expression to write in this problem is:

"the sum of x and 12 equals the sum of half of x and 5"

We have:

- The sum of x and 12 is: $x+12$

- The sum of half of x and 5 is: $\frac{1}{2}x+5$

So, the equation to write in this problem is

$x+12=\frac{1}{2}x+5$

We solve it as follows:

1) First, we subtract $\frac{1}{2}x$ from both sides, and we get

$x-\frac{1}{2}x+12=\frac{1}{2}x-\frac{1}{2}x+5\\\frac{1}{2}x+12=5$

2) Then, we subtract 12 from both sides:

$\frac{1}{2}x+12-12=5-12\\\frac{1}{2}x=-7$

3) Now we multiply both sides by 2:

$\frac{1}{2}x\cdot 2=-7\cdot 2\\x=-14$

So, this is the solution.