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Solve the following equation: 6d - 12 - d = 9d + 53 + d. Find the value of d.

User Fuad
by
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1 Answer

1 vote

Answer:

-13

Explanation:

There's a lot of terms there that make it look complicated, but once you combine like terms you'll see it's a simple one.

6d -12 -d = 9d + 53 + d

Let's first just combine the d's on both sides:

(6d - d) - 12 = (9d + d) + 53

5d - 12 = 10d + 53

Do you understand what I did there? I just added together "like terms" on both sides.

Now let's move 5d to the other side by subtracting it from both sides:

-12 = 5d + 53

Follow that?

Now move the 53 over by subtracting it from both sides:

-65 = 5d

Good with that?

Let's turn it around, because that's the norm:

5d = -65

And then how do we get d by itself? We divide by 5:

d = -65/5 = -13

You should always check your work. So plug -13 in for d in the equation you were given:

6(-13) - 12 -(-13) = 9(-13) + 53 - 13

-78 - 12 + 13 = -117 + 53 - 13

-77 = -77 So our answer checks out, yay. And we're done.

User Garfbradaz
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