what is the value of x?

Question

When 4 is added to the number that is produced by doubling the number x, the result is equal to 3 times the number that is 6 more than x. 

Answer 1

Just reading the interpreting the sentence you wrote, I came up with this equation:

 

2x + 4 = 3(x + 6)

 

Now, solve for x using algebraically.

 

2x + 4 = 3(x + 6)   * distribute the 3

2x + 4 = 3x + 18            

2x + 4 (- 4) = 3x + 18 (- 4)   * subtract 4 from both sides

2x = 3x + 14

2x (- 3x) = 3x (- 3x) + 14   * subtract 3x from both sides

-1x = 14

-1x • -1= 14 • -1   * multiply both sides by -1

x = -14

 

Hope this helps!

 

Neal