Answer:
x = 3
Step-by-step explanation:
So the equation is 5x - 6x + 2 = 4 x 2 - 3x
First we need to combine *like terms on both sides of the equal sign.
*like terms: there are three different types of numbers.
1) variable: a letter that represents an unknown number, usually the letters are x or y
2) coefficient: a number that is with a variable
3) constant: a number without a variable
You can't add or subtract or divide or multiply (in simple words, you cant combine) any numbers that aren't like terms.
And you also can't combine any numbers that are on the opposite side of the equal sign, even if they are like terms.
Back to the equation...
On the right side, the like terms are 5x and -6x.
On the left side, the like terms are 4 and 2.
After combining like terms, the equation is now simplified to
-x + 2 = 8 - 3x.
There are still other like terms that need to be combined, but they are on different sides of the equal sign.
But there is a way to move around the numbers!
By adding or subtracting, depending on whether the number is a positive or negative number.
Also you need to add/subtract them equally (meaning if you add/subtract a number from the left side, you also need to do the same on the right)
Back to the equation...
We first can add 3x to both sides.
Now, the equation is
-x + 2 + 3x = 8
Next, we can subtract 2 on both sides as well.
The equation is
-x + 3x = 8 - 2
Finally, we can combine the like terms.
Our equation is 2x = 6
The final step is to just get x by itself, without the coefficient.
To do this, we can divide 2 on both sides of the equal sign.
So the equation is x = 3, which is also our final answer.
Hope this helped :)
If it did, could you please give me brainliest?
