Question

How many solutions does the following equation have ?
- 32 +9 – 2x = -12 – 5x
Choose 1 answer:
No solutions
B
Exactly one solution
С
Infinitely many solutions

Answer 1

Answer:Exactly one solution.

Step-by-step explanation:

- 32 +9 – 2x = -12 – 5x

1.Add numbers

-23 - 2x= -12-5x

2.Rearrange terms

-2x - 23 = -12 - 5x

3. Rearrange terms

-2x - 23 = -5x-12

4. Add 23 to both sides of the equation

-2x-23+23= -5x-12+23

5.Simplify

-2x= -5x+11

6.Add 5x to both sides of the equation

-2x+5x=-5x+11+5x

7.Simplify

3x=11

8.Divide both sides of the equation by the same factor

$\frac{3x}{3}$ = $\frac{11}{3}$

9.Simplify and Solution

x= $\frac{11}{3}$