Combine Like Terms: 5x−12−6x=−10x+7−1
To combine like terms, we add or subtract coefficients that have the same variable.
On the left side of the equation, we have 5x and -6x. Adding them together, we get -1x or just -x. Therefore, the left side of the equation becomes -x - 12.
On the right side of the equation, we have -10x. Therefore, the right side of the equation remains the same, which is -10x + 7 - 1.
Putting it all together, the equation becomes:
-x - 12 = -10x + 7 - 1
To combine like terms, we need to simplify each side of the equation separately.
On the left side:
5x - 12 - 6x simplifies to -x - 12.
On the right side:
-10x + 7 - 1 simplifies to -10x + 6.
Therefore, the simplified equation becomes:
-x - 12 = -10x + 6.