To solve for the variable [tex]\( x \)[/tex] in the equation [tex]\( 6x = 42 \)[/tex], follow these steps:
1. Identify the equation:
[tex]\[
6x = 42
\][/tex]
2. Isolate the variable [tex]\( x \)[/tex] by dividing both sides of the equation by the coefficient of [tex]\( x \)[/tex], which is 6. This step ensures that [tex]\( x \)[/tex] is by itself on one side of the equation.
[tex]\[
x = \frac{42}{6}
\][/tex]
3. Perform the division:
[tex]\[
x = 7
\][/tex]
Thus, the value of [tex]\( x \)[/tex] is [tex]\( 7.0 \)[/tex].
