Carcass wrote:
When x is multiplied by 3, the result is 18 more than the result of subtracting x from 26. What is the value of x?
A) -4
B) -2
C) 11
D) 13
E) 22
When x is multiplied by 3, the result is 18 more than the result of subtracting x from 26.Translating the colored text, we get:
3x and
26 - xFor many, the tricky part is dealing with "the result is 18 more than"
We know that
3x is 18 more than
26 - xOur goal is to create an EQUATION. How do we do this?
Since
3x is 18 more than
26 - x, we can make the two quantities equal by EITHER subtracting 18 from
3x OR adding 18 to
26 - xLet's do the latter.
We get:
3x =
26 - x + 18
Simplify: 3x = 44 - x
Add x to both sides: 4x = 44
Solve: x = 11
Answer: C
Cheers,
Brent