Question

Solve the following equation, answer as a reduced, mixed number. Then place the correct number in the box provided.

7(x -2) + 3(x + 2) = 5(x - 6)

Answer 1

You multiply 7 with x and -2, and 3 with x and 2, and 5 with x and -6. Then you get 7x-14+3x+6 = 5x-30, now you just isolate x

Answer 2

Please expand the brackets first :)

7(x-2) is actually 7x-14

3(x+2) is actually 3x+6

5(x-6) is actually 5x-30

So we would have (7x-14) + (3x+6) = (5x-30)

Do you understand this step?

Answer 3

yes

Answer 4

did you do the sum?

Answer 5

@kc_kennylau

Answer 6

Then we can expand it furthermore:

(7x-14) + (3x+6) is actually (7x-14+3x+6)

Therefore (7x-14+3x+6)=(5x-30)

Answer 7

Now we can group the terms with "x" on the Left Hand Side, and the terms without on the Right Hand Side:

7x+3x-5x = -30+14-6

Answer 8

(7x-14) + (3x+6) = (5x-30)
10x-8=5x-30
5x=22
x=22/5

Answer 9

thanks