way2happy way2happy
  • 03-07-2019
  • Mathematics
contestada

If 2x -3(x+4)=-5, Then x=​

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LittleBelle
LittleBelle LittleBelle
  • 03-07-2019
The answer is -7

2x-3(x+4)=-5

Multiply by -3

2x-3x-12=-5

Collect like terms

-x-12=-5

Move constant to the right to change its sign

-x=-5+12

Add

-x=7

Change the signs

x=-7

Answer Link
gmany
gmany gmany
  • 03-07-2019

Answer:

x = -7

Step-by-step explanation:

[tex]2x-3(x+4)=-5\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\2x+(-3)(x)+(-3)(4)=-5\\\\2x-3x-12=-5\qquad\text{add 12 to both sides}\\\\-x=7\qquad\text{change the signs}\\\\x=-7[/tex]

Answer Link

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