1

Problem

If 3x - 9 = 4x + 5, what is the value of the x?

2

Step

The given equation

3x - 9 = 4x + 5

3

Step

Start by subtracting 3x from both sides to move all x terms to one side:

3x - 3x - 9 = 4x - 3x + 5

4

Step

After simplification, we obtain

-9 = x + 5

5

Step

Now, subtract 5 from both sides to isolate x:

-9 - 5 = x + 5 - 5

6

Step

After simplification, we get the x value

-14 = x

⇒ x = - 14

7

Solution

So, the value of x is - 14.

8

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

9

Choice-A

This is not the correct solution because the solution we found is x = − 14, not − 7

Wrong -7

10

Choice-B

This is the correct step. After solving the equation, we found that x equals - 14

Correct -14

11

Choice-C

Substituting x = 7 into the original equation 3(7) - 9 and 4(7) + 5 does not yield equal values

Wrong 7

12

Choice-D

This solution is incorrect as it does not hold true when x is substituted as 14 into the original equation

Wrong 14

13

Step

Option

B

14

Sumup

Please Summarize Choices