Question

7(2x+3)-3(5x-2)=5(3x-4)-3(3x-4)

Answer 1

14x + 21 - 15x + 6 = 15x - 20 - 9x + 12
14x - 15x - 15x + 9x = - 21 - 6 - 20 + 12
23x - 30x = - 47 +12
-7x = - 35
x = 5

Answer 2

7(2x + 3) -3(5x - 2) =5(3x - 4) - 3(3x - 4)

Apply distribution property:

(14x + 21) - (15x - 6) = (15x - 20) - (9x - 12)

Remove the brackets (remember to take care of the -ve sign):

14x + 21 - 15x + 6 = 15x - 20 - 9x + 12

Combine like terms:

-x + 27 = 6x - 8

Add x to both sides:

27 = 7x - 8

Add 8 to both sides:

35 = 7x

Switch sides:

7x = 35

Divide both sides by 7:

x = 5

.

Answer: x = 5