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math question

 

(x-4)-(5X+6)= 14 i need to know what the x is my answer was -12 i just want to know if its right

 Jun 9, 2014

Best Answer 

 #3
avatar+3454 
+5

I'll do this problem too so you can (hopefully) have a few consistant answers.

(x-4)-(5X+6)= 14

(x) - (4) - (5x) - (6) = 14

(-4x) - (4) - (6) = 14

(-4x) - (10) = 14

          +10    +10              ---Add 10 to both sides

-4x = 24

-(-4x = 24)               ---Times both sides by a minus

4x = -24

x = -6

 

 Let's check it:

(x-4)-(5X+6)= 14

((-6)-4)-(5(-6)+6)= 14       ---Input -6 for x, because x = -6

(-10) - (-30 + 6) = 14

(-10) - (-24) = 14

(-10) + (+24) = 14              ---Minus a negative is the same as plus a positive

14 = 14 ✔

 

There we have it, x = -6!

 Jun 9, 2014
 #1
avatar
0

Correct it is 14

 Jun 9, 2014
 #2
avatar+129852 
+5

(x-4) - (5x + 6) = 14

Distributing the negative outside the parenthesis changes all the signs on the things inside. So we have

x - 4 - 5x - 6 = 14     combine like terms

-4x -10 = 14           add 10 to both sides

-4x = 24                 divide both sides by -4

x = -6

 Jun 9, 2014
 #3
avatar+3454 
+5
Best Answer

I'll do this problem too so you can (hopefully) have a few consistant answers.

(x-4)-(5X+6)= 14

(x) - (4) - (5x) - (6) = 14

(-4x) - (4) - (6) = 14

(-4x) - (10) = 14

          +10    +10              ---Add 10 to both sides

-4x = 24

-(-4x = 24)               ---Times both sides by a minus

4x = -24

x = -6

 

 Let's check it:

(x-4)-(5X+6)= 14

((-6)-4)-(5(-6)+6)= 14       ---Input -6 for x, because x = -6

(-10) - (-30 + 6) = 14

(-10) - (-24) = 14

(-10) + (+24) = 14              ---Minus a negative is the same as plus a positive

14 = 14 ✔

 

There we have it, x = -6!

NinjaDevo Jun 9, 2014

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