combine like terms
5x - 12 - 6x = -10 + 7 - 1
To combine like terms, we'll add the coefficients of each term separately.
For the left side of the equation:
5x - 12 - 6x simplifies to (5x - 6x) - 12 which further simplifies to -x - 12.
For the right side of the equation:
-10 + 7 - 1 simplifies to -3.
Therefore, the final simplified equation is: -x - 12 = -3.
To combine like terms, we need to simplify both sides of the equation separately and then compare the similar terms.
On the left side of the equation, we have 5x - 12 - 6x. To combine the x terms, we add the coefficients:
5x - 6x = -1x or -x
So the left side simplifies to -x - 12.
Similarly, on the right side of the equation, we have -10 + 7 - 1. Combining the numbers:
-10 + 7 - 1 = -4
So the right side simplifies to -4.
Now, comparing the simplified left side (-x - 12) and the simplified right side (-4), we have:
-x - 12 = -4
Now, we can solve for x. To isolate the x term, we need to add 12 to both sides of the equation:
-x - 12 + 12 = -4 + 12
This simplifies to:
-x = 8
Finally, to solve for x, we need to multiply both sides of the equation by -1 (or divide both sides by -1):
x = -8
Therefore, the solution to the equation is x = -8 after combining like terms.