Question

Q18. What is the value of x when solving the equation below using thealgebra tiles?4x+(-4)=-2x+8

Answer 1

Ok, so

Here we have the following equation:

`\begin{gathered} 4x+(-4)=-2x+8 \\ \end{gathered}`

First, remember that if we multiply a positive sign by a negative sign, the result is negative.

Then, we can rewrite:

`4x-4=-2x+8`

Now, let all the "x terms" in a side of the equation and the numbers in the other side:

`\begin{gathered} 4x+2x=8+4 \\ \end{gathered}`

Then, sum the similar terms:

`\begin{gathered} 6x=12 \\ \end{gathered}`

And finally, divide the equation by 6:

`\begin{gathered} x=(12)/(6) \\ \\ x=2 \end{gathered}`

Therefore, x=2.