Question

Complete the proof:-Given: 102x = 3(x - 2) + 4Prove: x = 121. 10 – 2x = 3x - 6 + 4[ Select ]2. 10 – 2x = 3x – 2 [Select]3. 10 = 5x – 2 (Select]4. 12 = 5x [Select]5.1 = x (Select6. x =(Select]

Answer 1

We have the equation:

10 - 2x = 3(x - 2) + 4

To solve it, we can apply the algebraic operation on both sides of the equation, until we isolate the variable x, and then find its value:

10 - 2x = 3(x - 2) + 4

10 - 2x = 3x - 6 + 4

10 - 2x = 3x - 2

10 - 2x - 2x = 3x - 2x - 2

10 = 5x -2

10 + 2 = 5x - 2 + 2

12 = 5x

12/5 = 5x/5

12/5 = x

x = 12/5