Q38. - Algebra 1

Question

Find the value of $\mathit{x}$. Then name the property used.

38. $\mathbf{8}\mathbf{=}\mathbf{8}\mathbf{+}\mathit{x}$

Step-by-Step Solution

Answer

The value of $x$ is 0.

Step 1 – Write the given information

The equation given is 

$8=8+x$

Step 2 – Write the property used

The addition/subtraction property of equality: 

Same number can be added/subtracted to both sides of the equation and the resulting equation will be equivalent to the original.

Step 3 - DESCRIPTION OF STEP

In order to find the value of ‘$x$’ subtract 8 from each side of the equation as:

$\begin{array}{c}8-8=8+x-8\\ 0=0+x\\ \Rightarrow x=0\end{array}$

Thus, the value of $x$ is 0.