solve for the g in the following equation

Question

Solve for the g in the following equation

6g-5 +4g =5 -10(g +2)

a.-1

b. 1

c.-1/2

d. 3/2

Answer 1

6g - 5 + 4g = 5 - 10(g + 2) solve for g

Inside the parenthesis needs to be done first

6g - 5 + 4g = 5 - 10g - 20

Next all unknowns need to be left on the left side of the equation

6g + 4g + 10g = 5 - 20 + 5

Next just do the operations

20g = - 10

To leave g alone, I need to divide both sides by 20

20g = - 10 On the left side of the equation, 20's will cancel each other out because 20 divided by 20 is

20 20 one whole, on the right side of the equation cross out zeros and answer will be - 1

2

Correct answer is C

Answer 2

Solution:

6g-5 +4g =5 -10(g +2) , Expand and remove parenthesis

6g - 5 + 4g = 5 - 10g - 20, Add like terms

10g - 5 = -15 - 10 g , add -10 g to both sides of the equation

10g -10g -5 = -15 -1og -10g, add like terms

-5 = -15 - 20g, add +15 to both sides of the equation

-5 + 15 = -15 + 15 -20g, add like terms

+10 = -20g, divide both sides by -20

+10/ -20 = -20g / -20, simplify

-1/2 = g , or g = -1/2 answer is C

Check: substitute g = -1/2 into equation and equate both sides. They must be equal

6g-5 +4g =5 -10(g +2), 10g - 5 = 5 - 10g - 20 , 10( -1/2) -5 = -15 -10(-1/2), -5-5 = -15+5, -10 = -10 checks