Question

How do you solve \[0.6x=0.2x+2.8\]?

Answer 1

Hint: In this problem, we have to solve and find the value of x. we can first take the constant term 2.8 to one side and the terms with the variable to the other side, from the right-hand side to the left-hand side, so that the given problem will be easier to solve as we can have the terms with variables to be simplified in one side and the constant on the other side to simplify and find the value of x.

Complete step by step solution:
We know that the given equation to be solved is,
 \[0.6x=0.2x+2.8\]
We can now simplify the terms by subtracting 0.2 x on the both sides, we get
\[\Rightarrow 0.6x-0.2x=2.8\]
We can now simplify the above step by multiplying –1 on both sides, we get
\[\Rightarrow 0.4x=2.8\]
We can now simplify the above step by dividing 0.4 on both sides, and cancel the terms with variables in the right-hand side, we get
\[\Rightarrow x=\dfrac{2.8}{0.4}=7\]

Therefore, the value of x is 7.

Note: We should know how to add/subtract the correct numbers to the given equation on both the left-hand side and the right-hand side of the equation in order to cancel similar terms to get a simplified form so that we can find the value of the given unknown variable in the given equation. we can substitute the resulting value in the equation to check for the correct values.
We can substitute x = 7 in \[0.6x=0.2x+2.8\],
\[\begin{align}
  & \Rightarrow 0.6\left( 7 \right)=0.2\left( 7 \right)+2.8 \\
 & \Rightarrow 4.2=1.4+2.8 \\
\end{align}\]
Therefore, the value x = 7 is correct for the given equation.