If ?2 is the solution of the equation 2x+1? 3c=2c+3x?7 find the value of c

To find the value of c in the equation 2x + 1/3c = 2c + 3x - 7, we'll substitute ?2 for x and then solve for c.

Given: x = ?2, 2x + 1/3c = 2c + 3x - 7

Step 1: Substitute ?2 for x in the equation.
2(?2) + 1/3c = 2c + 3(?2) - 7

Simplifying the equation:
-4 + 1/3c = 2c - 6 - 7
-4 + 1/3c = 2c - 13

Step 2: Get all terms with c on one side of the equation.
1/3c - 2c = -13 + 4

Multiplying both sides by 3 to eliminate the fraction:
c - 6c = -39 + 12
-5c = -27

Step 3: Solve for c by dividing both sides by -5.
c = -27 / -5
c = 5.4

Therefore, the value of c is 5.4.