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:

$\begin{gathered} x=\frac{12}{6} \\ \\ x=2 \end{gathered}$

Therefore, x=2.