Question

x= 3 is solution of:


6x -12 = 3x + 8


9x -17 = 2x - 9


7x -11 = 2x + 5


7x - 10 = 2x +5​

Answer 1

Answer:

7x - 10 = 2x +5

Step-by-step explanation:

Solve for x:

7 x - 10 = 2 x + 5

Subtract 2 x from both sides:

(7 x - 2 x) - 10 = (2 x - 2 x) + 5

7 x - 2 x = 5 x:

5 x - 10 = (2 x - 2 x) + 5

2 x - 2 x = 0:

5 x - 10 = 5

Add 10 to both sides:

5 x + (10 - 10) = 10 + 5

10 - 10 = 0:

5 x = 5 + 10

5 + 10 = 15:

5 x = 15

Divide both sides of 5 x = 15 by 5:

(5 x)/5 = 15/5

5/5 = 1:

x = 15/5

The gcd of 15 and 5 is 5, so 15/5 = (5×3)/(5×1) = 5/5×3 = 3:

Answer:

x = 3