Question 245867: What do you do when you have a variable on both sides
Example 2g+14+5g=8g-3+8 Found 2 solutions by richwmiller, dabanfield:Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website! first combine like elements on each side
2g+14+5g=8g-3+8
2g+5g on the left can be combined to 7g
-3+8 on the right can be combined to 5
so now we have
7g+14=8g+5
what we do to one side of the equation we must to the the other side.
so if we subtract 5 from the right side we have to subtract 5 from the left side.
so now we have
7g+9=8g
now we can subtract 7g from both sides
and we get 9=1g or 9=g
You can put this solution on YOUR website! You can add or subtract the same value from both sides of an equation without changing the solutions so you can subtract 8g from both sides giving:
2g+14+5g-8g=8g-3+8-8g =
2g+14+5g-8g=8g-8g-3+8 =
2g+14+5g-8g=-3+8=5
This essentially removes the variable from the right side of the equation.
Subtracting 14 from both sides results in:
2g+14+5g-8g-14 = 5-14
Simplify to:
2g+5g-8g = -9
-g = -9
g = 9
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