Question

Solve the equation. Show all your steps0.5x + 4.2 = 0.7x

Answer 1

To solve the equation

`0.5x+4.2=0.7x`

You have to isolate the x-term on one side of the equal sign, for this, pass the term 0.5x to the right side of the equation by applying the opposite operation to both sides of it:

`\begin{gathered} 0.5x-0.5x+4.2=0.7x-0.5x \\ 4.2=0.2x \end{gathered}`

Next, the x term is being multiplied by 0.2, to cancel the said multiplication you have to divide the term by 0.2. And you keep the equality valid, what is done to one side of the equation has to be done to the other side, so you have to divide 4.2 by 0.2 too:

`\begin{gathered} (4.2)/(0.2)=(0.2x)/(0.2) \\ 21=x \end{gathered}`

The value of x is 21