To find the value of [tex]\( x \)[/tex] in the equation [tex]\( 7x = x \)[/tex], let's go through the steps of solving it.
1. Start with the given equation:
[tex]\[
7x = x
\][/tex]
2. Subtract [tex]\( x \)[/tex] from both sides to consolidate all [tex]\( x \)[/tex]-terms on one side:
[tex]\[
7x - x = 0
\][/tex]
3. Simplify the left side by combining like terms:
[tex]\[
6x = 0
\][/tex]
4. To isolate [tex]\( x \)[/tex], divide both sides of the equation by 6:
[tex]\[
x = \frac{0}{6}
\][/tex]
5. Simplify the right side:
[tex]\[
x = 0
\][/tex]
Thus, the value of [tex]\( x \)[/tex] that satisfies the equation [tex]\( 7x = x \)[/tex] is:
[tex]\[
x = 0
\][/tex]
