5g+4(-5+3g)=1-g
my solve(which didn't work tried 5 times)
5g-20+12g=1-g
17g-20=1-g
18g-20=1
18g=21
g=21/18=7/6
where did i go wrong?
I got the same answer, but simplified 7/6 to 1 1/6
Let's take a closer look at your steps to find where the mistake occurred.
The original equation is:
5g + 4(-5 + 3g) = 1 - g
Expanding the brackets inside the parentheses gives:
5g + 4(-5) + 4(3g) = 1 - g
Now simplify each term:
5g - 20 + 12g = 1 - g
Next, combine like terms on the left side of the equation:
(5g + 12g) - 20 = 1 - g
This simplifies to:
17g - 20 = 1 - g
Now, the mistake occurred here. Instead of subtracting g from 1, you mistakenly subtracted g from 17g. To correct this, distribute the negative sign to the g on the right side:
17g - 20 = 1 + (-g)
Replace -g with -1g:
17g - 20 = 1 - 1g
Now, combine like terms by subtracting 1g from both sides:
17g + 1g - 20 = 1 - 1g + 1g
This simplifies to:
18g - 20 = 1
Finally, add 20 to both sides to isolate the variable term:
18g - 20 + 20 = 1 + 20
This simplifies to:
18g = 21
To solve for g, divide both sides by 18:
18g/18 = 21/18
This gives:
g = 7/6
So the correct solution is g = 7/6.