The value of x in the given equation [tex]-20.5x+16.35x -0.1245 = 0\\[/tex] is 0.03
Step-by-step explanation:
The given equation is that [tex]-20.5x+16.35x -0.1245 = 0\\[/tex]
The steps to be followed to solve the equation are :
Add the like terms together to reduce the equation in a simplified form.
Here, there are two x terms and they must be reduced to a single term.
For this, add the both terms together so that the equation is simplified into one x term and a constant term.
⇒ [tex](-20.5x+16.35x) - 0.1245 = 0[/tex]
⇒ [tex]4.15x-0.1245 = 0[/tex]
To eliminate the constant term on the left side of the equation, add 0.1245 on both sides.
⇒ [tex]4.15x -0.1245+0.1245 = 0.1245[/tex]
⇒ [tex]4.15x = 0.1245[/tex]
Now, the equation is further simplified by dividing 4.15 on both sides,
⇒ [tex]4.15x / 4.15 = 0.1245/4.15[/tex]
⇒ [tex]x = 0.03[/tex]
Therefore, the value of x is 0.03
