Question

3(x+6)=2(4x+14) what is the value of x?

Answer 1

Hi there

3(x + 6) = 2(4x + 14)
3x + 18 = 8x + 28
3x - 8x = 28 - 18
-5x = 10
x= 10/-5
x = -2


Here it is :)

Merry Christmas

Answer 2

Hi there! ~

So to start off, we are trying to find the value of x. This is a lot different then just "replacing x with the given value" as we have previously done. So lets get started ~ 

• Our first step is going to be to distribute our problem.

We have; (Putting these in parenthesis)

3(x+6) = 2(4x + 14)
↓   ↓   ↓   ↓   ↓   ↓   
(3)(x) + (3)(6) = (2))4x) + (2)(14)
↓   ↓   ↓   ↓   ↓   ↓  
3x + 18 = 8x + 26

• Now we need to subtract "18" by both sides of the given equation. 

-5x + 18 - 18 = 28 - 18

28-18 = 10

-5x = 10

↓   ↓   ↓   ↓   ↓

• Now we need to divide both of our sides by -5, to get our final and foremost answer. 

$\frac{-5x}{-5} = \frac{10}{-5}$

And with that we get our final answer; x = -2