1

Problem

Find the value of x that satisfies the equation \$(1/2)(4x - 6) = 3\$.

2

Step

The given

\$(1/2)(4x - 6) = 3\$

3

Step

Using cross multiplication

4x - 6 = 6

4

Step

Move x coefficient to right hand side to solve for x:

\$ x = (12)/4 \$

x = 3

5

Solution

The x is value is 3.

6

Sumup

Please summarize steps

Choices

7

Choice-A

If we substitute x = 2 into the equation \$(1/2)(4x - 6) = 3\$, we get \$(1/2) (4(2) - 6) = (1/2) (8 - 6) = (1/2) (2) = 1\$, which is not equal to 3. Therefore, option A is incorrect

Wrong 2

8

Choice-B

If we substitute x = 6 into the equation \$(1/2)(4x - 6) = 3\$, we get \$(1/2) (4(6) - 6) = (1/2) (24 - 6) = (1/2) (18) = 9\$, which is not equal to 3. Therefore, option B is incorrect

Correct 6

9

Choice-C

If we substitute x = 3 into the equation \$(1/2)(4x - 6) = 3\$, we get \$(1/2) (4(3) - 6) = (1/2) (12 - 6) = (1/2) (6) = 3\$, which is equal to 3. Therefore, option C is correct

Wrong 3

10

Choice-D

If we substitute x = 7 into the equation \$(1/2)(4x - 6) = 3\$, we get \$(1/2) (4(7) - 6) = (1/2) (28 - 6 ) = (1/2) (22) = 11\$, which is not equal to 3. Therefore, option D is incorrect

Wrong 7

11

Answer

Option

C

12

Sumup

Please summarize choices