what is the answer to 8(g+2)=2(23-g)

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given the numerical expression:

8(g+2) =2(23 - g)

Determine the answer.

Solution:

Distribute 8 and 2 to their corresponding parenthesis.

8(g+2) =2(23 - g)

8g+16 =46 - 2g

Transpose -2g and 16 on their opposite sides in order to combine like terms. Note that when transposing a number, the sign changes.

8g + 2g =46 - 16

10 g =30

Divide both sides by 10 in order to get the value of g.

10g/10 =30/10

g = 3