4x - 2x - 5 = 4 + 6x + 3 |
Goal is to isolate x on one side to be able to solve. |
2x - 5 = 7 + 6x |
Combine like terms. |
2x - 5 + 5 = 7 + 6x + 5 |
Add 5 to each side. |
2x = 12 + 6x |
Subtract 6x from each side. |
-4x = 12 |
Then, divide both sides by -4 |
x = -3 |
CHECK your solution by plugging back into the original equation. |
Disclaimer: I did not create nor do I own these videos. I have simply embedded them, courtesy of YouTube. (But I do think this teacher does a fantastic job with his video tutorial series.)
2(k - 5) + 3k = k + 6 |
Use the distributive property to simplify and combine like terms. |
2k - 10 + 3k = k + 6 |
Combine like terms. |
5k - 10 = k + 6 |
Then, add 10 to both sides. |
5k = 16 + k |
Then, subtract k from both sides. |
4k = 16 |
Then, divide both sides by 4 |
k = 4 |
CHECK your solution by plugging back into the original equation. |
Disclaimer: I did not create nor do I own these videos. I have simply embedded them, courtesy of YouTube. (But I do think this teacher does a fantastic job with his video tutorial series.)
As the name suggests, a linear equation in one variable implies that there is only ONE variable, and that the equation involves only real numbers. A linear equation in one variable can be written in this form: Ax + B = C where A does NOT equal zero.
A linear equation is also a first-degree equation, since the greatest power of any variable is 1.
Here are some examples of linear equations in one variable:
x + 2 = -1
x - 3 = 5
3k + 4 = 10