c/6+76=6D

Question

c/6+76=6D

anonymous · Answer

what you have to do with equation????????
$${{c}\over{6}} + 76 = 6D$$

anonymous · Answer

Ahh. Duh, solve for C.

anonymous · Answer

Can't believe I forgot that.

shadowfiend · Answer

So to solve for C, you want to make C be alone on one side of the equals sign. That means we have to move the stuff around C (the / 6 and the + 76) to the right side of the equals sign.

Remember that an equation stays true as long as we do the same thing to both sides.

shadowfiend · Answer

$$\frac{C}{6}+ 76 = 6D$$

First things first, let's see if we can move the 76 over. Since we're adding 76 to the left side, if we subtract 76 from it, we cancel out the 76. So we can do:

$$\frac{C}{6} + \cancel{76} - \cancel{76} = 6D - 76$$

We've done it to both sides so that the equation remains true, and the 76es on the left cancel out:

$$\frac{C}{6} = 6D - 76$$

shadowfiend · Answer

The second step is to move the 6 over. $\frac{C}{6}$ is the same as $C \div 6$. To invert a division, you multiply. So let's multiply both sides by 6:

$$\frac{C}{\cancel{6}} \times \cancel{6} = 6 \times (6D - 76)$$

shadowfiend · Answer

We can distribute the 6 on the right, and we have our final answer:

$$C = 36D - 456$$

anonymous · Answer

That makes a whole lot more sense now that I'm not struggling to get it down to one exact number. Thank you. I'll have to do it myself a few times now to get the hang of it but it definitely makes sense now!

shadowfiend · Answer

Awesome to hear!