Final answer:
To find the value of x in the equation 6.5x+1= x−(2x+8.4)−5, simplify and rearrange the equation to isolate x. So, x is equal to approximately -1.92.
Step-by-step explanation:
To find the value of x in the equation 6.5x+1= x−(2x+8.4)−5, we can solve for x by simplifying and rearranging the equation.
First, let's simplify the equation by combining like terms:
6.5x + 1 = x - 2x - 8.4 - 5
Now, let's simplify further:
6.5x + 1 = -x - 13.4
Next, let's isolate x on one side of the equation. We can do this by adding x to both sides:
6.5x + x + 1 = -x + x - 13.4
Combining like terms:
7.5x + 1 = -13.4
Now, subtract 1 from both sides:
7.5x + 1 - 1 = -13.4 - 1
7.5x = -14.4
Finally, divide both sides by 7.5 to solve for x:
x = -14.4/7.5
So, x is equal to approximately -1.92.