1

Problem

Find the value of x in the equation
19 + 5x - 21 = - 32 - 2(7x - 11)

2

Step

The given equation

19 + 5x - 21 = - 32 - 2(7x - 11)

3

Step

Let’s first simplify both sides of the equation:

5x - 2 = - 32 - 14x + 22

5x - 2 = - 14x - 10

4

Step

Move x terms to one side and constant to other side

5x + 14x = - 10 + 2

19x = - 8

5

Step

Now, to solve for x, divide both sides by 19:

\$ 19/19x = - 8/19 \$

⇒ \$ x = - 8/19\$

6

Solution

So, the value of x in the equation is \$ x = - 8/19\$.

7

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

8

Choice-A

Incorrect. This option does not match the value of x we found, which is \$- 8/19\$

Wrong \$ - 12/19\$

9

Choice-B

Incorrect. This option does not match the value of x we found, which is \$- 8/19\$

Wrong \$ 19/12\$

10

Choice-C

Correct. This matches the value we found for x

Correct \$ - 8/19\$

11

Choice-D

Incorrect. This option does not match the value of x we found, which is \$- 8/19\$

Wrong \$ 6/19\$

12

Step

Option

C

13

Sumup

Please Summarize Choices

Choices

11

Choice-A

The equation does not have any solutions where y = 0, so this is not correct

Wrong 0

12

Choice-B

This is correct because the y value satisfies the given equation

Correct 1

13

Choice-C

The equation does not have any solutions where y = - 1, so this is not correct

Wrong -1

14

Choice-D

The equation does not have any solutions where y = - 2, so this is not correct

Wrong -2

15

Step

Option

B

16

Sumup

Please Summarize Choices