Question

How do you solve $-4c-1.2=0.8$?

Answer 1

Hint: In this question, we will arrange the equation -4c-1.2=0.8 by changing it in the standard form of x=C where x is variable and C is any constant. We will make the variable to the left side of the equation and take all the constants to the right side of the equation. After that, we will balance the equation and solve the further equation and then we will find the value of c.

Complete step-by-step answer:
Let us solve this question.
In this question, we have been asked to solve the equation -4c-1.2=0.8. We have to find the value of c in this given equation.
As we can see that the given equation is
$-4c-1.2=0.8$
Now, we will convert the above equation in the standard form of linear equation. The standard form of linear equation is $x=C$ where x is any type of variable and $C$ is any constant.
So, we will balance the equation $-4c-1.2=0.8$
The above equation can also be written as
\[\Rightarrow \]$-4c-1.2+1.2=0.8+1.2$
The above equation can also be written as
\[\Rightarrow \]$-4c=2.0$
Or, we can write the above equation as
\[\Rightarrow \]$-4c=2$
Multiplying -1 to the both side of equation, we get
\[\Rightarrow -1\times \left( -4c \right)=-1\times 2\]
The above equation can also be written as
\[\Rightarrow \]$4c=-2$
Now, after dividing 4 on both the side of equation, we get
\[\Rightarrow \dfrac{4c}{4}=\dfrac{-2}{4}\]
Now, 4 will be cancelled out in the left side of the equation and in the right side of the equation, it will be negative of half.
So, we can write above equation as
\[\Rightarrow c=-\dfrac{1}{2}\]
Or we can write
\[\Rightarrow \]c=0.5
Hence, we have solved the equation $-4c-1.2=0.8$ and found that the value of $c$ is $-0.5$.

Note: Always remember that linear equations always have one solution. In case, if we want to check if our solution is correct or not. We can cross-check the solution.
The equation is
-4c-1.2=0.8
For cross-checking, we will put the value of c as -0.5
After putting the value of c, we get
\[\Rightarrow -4\left( -0.5 \right)-1.2=0.8\]
We can write the above equation as
\[\Rightarrow 2-1.2=0.8\]
\[\Rightarrow 0.8=0.8\]
Hence, we can see that L.H.S.=R.H.S.
So, our solution is correct.