Question

Solve 5g+4 (-5+3g)=1-g

Answer 1

Simplifying

5g + 4(-5 + 3g) = 1 + -1g

5g + (-5 * 4 + 3g * 4) = 1 + -1g

5g + (-20 + 12g) = 1 + -1g

Reorder the terms:

-20 + 5g + 12g = 1 + -1g

Combine like terms: 5g + 12g = 17g

-20 + 17g = 1 + -1g

Solving

-20 + 17g = 1 + -1g

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add 'g' to each side of the equation.

-20 + 17g + g = 1 + -1g + g

Combine like terms: 17g + g = 18g

-20 + 18g = 1 + -1g + g

Combine like terms: -1g + g = 0

-20 + 18g = 1 + 0

-20 + 18g = 1

Add '20' to each side of the equation.

-20 + 20 + 18g = 1 + 20

Combine like terms: -20 + 20 = 0

0 + 18g = 1 + 20

18g = 1 + 20

Combine like terms: 1 + 20 = 21

18g = 21

Divide each side by '18'.

g = 1.166666667

Simplifying

g = 1.166666667

Hope this helps!

Answer 2

To solve 5g+4(-5+3g) = 1-g

5g+4(-5+3g)=1-g

17g-20=1-g

Then,  

18g=21

G=21/18=7/6