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Solve the equation. 20x-7=5+16x

User Lemnar
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2 Answers

5 votes
Hello there!

20x - 7 = 16x + 5 (This is the same equation, I have just rearranged it to my preference)

First, we need to get x on one side, then isolate x.

We have x on both sides, so we need to get them on one side.

20x - 7 = 16x + 5

Subtract 16x from both sides.

20x - 16x = 4x
16x - 16x = 0

4x - 7 = 5

Now we need to isolate x.
Since 4x is being subtracted by 7, we need to add 7 to cancel it out.
Add 7 to both sides.

-7 + 7 = 0
5 + 7 = 12

4x = 12

Now that we have isolated x, we need to solve for x.
Since x is being multiplied by 4, we need to cancel it out by performing the opposite order of operations.
The opposite of multiplying is dividing.

Divide both sides by 4 to solve for x.

4x / 4 = x
12 / 4 = 3

We are left with our solution:
x = 3

I hope this helps!
User Lariza
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7.4k points
2 votes
20x-7= 5+16x

Add 7 to both sides
20x= 12+16x

Subtract 16x from both sides
4x=12

Divide both sides by 4
x=3

Final answer: x=3
User Mamed
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8.5k points