1

Problem

Find the unknown variable x in the equation x + 3(x + 2) = 50.

2

Step

After expanding the equation

x + 3x + 6 = 50

3

Step

Moving common terms to one side:

x + 3x + 6 = 50

4x = 44

4

Step

Find the x value:

\$ "x" = (44)/4 \$

x = 11

5

Solution

So, therefore the x value is 11.

6

Sumup

Please summarize steps

Choices

7

Choice-A

If we substitute x = 10 into the equation x + 3 (x+2) = 50, we get 10 + 3(10 + 2) = 10 + 3(12) = 10 + 36 = 46, which is not equal to 50. Therefore, option A is incorrect

Wrong 10

8

Choice-B

If we substitute x = 11 into the equation x + 3(x + 2) = 50, we get 11 + 3(11 + 2) = 11 + 3(13) = 11+39 = 50, which is equal to 50. Therefore, option B is correct

Correct 11

9

Choice-C

If we substitute x = 9 into the equation x + 3(x + 2) = 50, we get 9 + 3(9 + 2) = 9 + 3(11) = 9 + 33 = 42, which is not equal to 50. Therefore, option C is incorrect

Wrong 9

10

Choice-D

If we substitute x = 12 into the equation x + 3(x + 2) = 50, we get 12 + 3(12 + 2) = 12 + 3(14) = 12 + 42 = 54, which is not equal to 50. Therefore, option D is incorrect

Wrong 12

11

Answer

Option

B

12

Sumup

Please summarize choices