Question

14x - 9 + 8x + 3 = 9x - 8 - 3x - 14

One Solution
Infinitely Many Solutions
No Solution

Answer 1

Explanation:

Here you go mate

Step 1

14x-9+8x+3=9x-8-3x-14 Equation/Question

Step 2

14x-9+8x+3=9x-8-3x-14 Simplify

22x-6=6x-22

Step 3

22x-6=6x-22 Subtract 6x from the sides

16x-6=-22

Step 4

16x-6=-22 Subtract -6

16x=-16

Step 5

16x=-16 Divide both sides by 16

-1

Answer

x=-1

One Solution

Answer 2

`\large\boxed{\text{One solution.}}`

14x - 9 + 8x + 3 = 9x - 8 - 3x - 14

Combine like terms:

14x + 8x - 9 + 3 = 9x - 3x - 8 - 14

22x - 6 = 6x - 22

Subtract 6x from both sides:

22x - 6x - 6 = 6x - 6x - 22

16x - 6 = -22

Add 6 to both sides:

16x - 6 + 6 = -22 + 6

16x = -16

Divide both sides by 16:

16x/16 = -16/16

x = -1. There is only one solution to this equation.