What Is 5x−12−6x=−10x+7−1 When Combined Like Terms
To combine like terms in the equation 5x - 12 - 6x = -10x + 7 - 1, we need to simplify each side of the equation separately and then combine the like terms.
On the left-hand side:
5x - 12 - 6x simplifies to -x - 12.
On the right-hand side:
-10x + 7 - 1 simplifies to -10x + 6.
Now, the equation becomes -x - 12 = -10x + 6.
To combine the like terms, we can add x to both sides of the equation:
(-x + x) - 12 = (-10x + x) + 6.
Simplifying further:
-12 = -9x + 6.
To isolate the variable, we can subtract 6 from both sides of the equation:
-12 - 6 = -9x + 6 - 6.
Simplifying further:
-18 = -9x.
Finally, to solve for x, we can divide both sides of the equation by -9:
-18 / -9 = -9x / -9.
Simplifying further:
2 = x.
Therefore, the combined like terms form of the equation 5x - 12 - 6x = -10x + 7 - 1 is x = 2.
To combine like terms in the equation 5x - 12 - 6x = -10x + 7 - 1, we need to simplify each side separately.
Starting with the left side:
5x - 12 - 6x can be simplified as:
(5x - 6x) - 12 = -x - 12.
Next, let's simplify the right side:
-10x + 7 - 1 can be combined as:
(-10x) + (7 - 1) = -10x + 6.
Now, the equation becomes:
-x - 12 = -10x + 6.
To get rid of the negative sign in front of the x on the left side, we can multiply both sides of the equation by -1:
-1 * (-x - 12) = -1 * (-10x + 6).
This simplifies to:
x + 12 = 10x - 6.
Now, let's get rid of the 10x on the right side by subtracting 10x from both sides:
x + 12 - 10x = 10x - 6 - 10x.
Simplifying further gives us:
12 - 9x = -6.
Finally, to isolate the variable x, we can subtract 12 from both sides of the equation:
12 - 9x - 12 = -6 - 12.
Which simplifies to:
-9x = -18.
Finally, to solve for x, divide both sides of the equation by -9:
(-9x) / -9 = (-18) / -9.
This gives us:
x = 2.
So, the solution to 5x - 12 - 6x = -10x + 7 - 1 when combined like terms is x = 2.