126k views
2 votes
Help me solve this equation 3x-7=4x

2 Answers

6 votes
Hey!

Let's write it,
3x-7=4x
Add
7 to both sides,

3x-7+7=4x+7

3x=4x+7
Subtract
4x from both sides.

3x-4x=4x+7-4x

-x=7
Since we don't want a negative variable, we have to divide both sides by
-1.

(-x)/(-1)=(7)/(-1)
Our answer would be,

x=-7

Thanks!
-TetraFish
User Shankhan
by
6.1k points
3 votes
3x - 7 = 4x

We're basically just trying to take all of the variables & put it onto one side, and then move everything else to the other side :)

So, we must add 7 to both sides.

3x = 4x + 7

Then, we subtract 4x from both sides.

3x - 4x = 7

Simplify.

-x = 7

Divide both sides by -1.

x = -7

To check our work, we simply need to plug in -7 for x in our given equation :)

3x - 7 = 4x

3(-7) - 7 = 4(-7)

Simplify.

-21 - 7 = -28

-28 = -28

Therefore, x = -7

~Hope I helped!~
User Raphael Bossek
by
6.5k points
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