What kind of solution is - 6 (x-2) = -7 (x-3)

-6 (x-2) = -7 (x-3) = False x = 9

Step-by-step explanation:

Solve for x:

-6 (x - 2) = - 7 (x - 3)

Expand out terms of the left hand side:

12 - 6 x = - 7 (x - 3)

Expand out terms of the right hand side:

12 - 6 x = 21 - 7 x

Add 7 x to both sides:

7 x - 6 x + 12 = (7 x - 7 x) + 21

7 x - 7 x = 0:

7 x - 6 x + 12 = 21

7 x - 6 x = x:

x + 12 = 21

Subtract 12 from both sides:

x + (12 - 12) = 21 - 12

12 - 12 = 0:

x = 21 - 12

21 - 12 = 9:

Answer: x = 9

Step-by-step explanation:

-6 (x-2) = -7 (x-3)

-6x + 12 = - 7x + 21

-6x + 7x = 21 - 12

x = 9