Can you help me on this linear equation?

Question

Please walk me through along this equation:

8g - (5 - 2g) = 15

What is g?

This problem has been bothering me for a long time.

Answer 1

8g - (5 - 2g) = 15

distribute the -1 (i.e. the - in front a parentheses can also mean a -1)

once you do that you get 8g - 5 + 2g=15

add the gs together and you get 10g -5 = 15

add 5 on both sides and you get 10g = 20

divide the 10 on both sides and you get g = 2

Answer 2

8g - (5 - 2g) = 15

Since x - (y - z) is equal to  x + [-1](y - z), the equation becomes:

8g + [-1](5 - 2g) = 15

Do the multiplication next:

8g - 5 + 2g = 15

Add 5 to each side:

8g - 5 + 5 + 2g = 15 + 5

Which becomes:

8g + 2g = 20

Perform the addition on the left side:

10g = 20

Divide each side by 10:

10g / 10 = 20 / 10

Resulting in:

g = 2

Check your work:

    8g - (5 - 2g) = 15

8[2] - (5 - 2[2]) = 15

    16 - (5 - [4]) = 15

           16 - (1) = 15

                  15 = 15

As the Greeks would say, "quid est domini," it is proven.

Answer 3

      8g - (5 - 2g) = 15

=)   8g - 5 + 2g = 15     (remove the brackets)

=)   10g + 5 =15           (add 8g and 2g)

=)   10g = 20                

(move the -5 over to the other side thus adding 5 yo 15 making it 20)

=)   g = 20/10               (get rid of the 10 by dividing 20 by 10)

=)   g = 2                      (then you get the value of g being 2)