How do you solve 2x -4 = 5x +172x4=5x+17?

4 Answers
Nov 7, 2017

x=-7x=7

Explanation:

Begin by adding 44 and subtracting 5x5x to both sides:

2xcancel(-4color(red)(+4))color(blue)(-5x)=cancel(5xcolor(blue)(-5x))+17color(red)(+4)

2x-5x=17+4

-3x=21

Divide -3 from both sides

cancel(-3)/cancel(color(red)(-3))x=21/color(red)(-3)

x=-7

Nov 7, 2017

x= -7

Explanation:

Collect like terms and bring x to one side. Take the -4 to the other side so the sign changes. That means add 4 to 17.

2x-4=5x+17

2x=5x+17+4

2x=5x+21

Now take 5x to the other side with the other x.

2x-5x=21

-3x=21

x= -7

Nov 7, 2017

To solve this equation...

Explanation:

  1. Isolate the variables
    2x-5x=4+17
  2. Add
    -3x=21
  3. Divide the terms on both sides by -3
    x=-7

SOLUTION:

x=-7

Nov 10, 2017

Transfer all the variables to one side and all the numbers to the other
2x-5x=4+17
Solve
-3x=21
Transfer -3
x=21/(-3)
x=-7