To solve for the variable [tex]\( x \)[/tex] in the equation [tex]\( 7x = 63 \)[/tex], follow these steps:
1. Identify the equation to solve:
[tex]\[
7x = 63
\][/tex]
2. Isolate the variable [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], you need to eliminate the coefficient of [tex]\( x \)[/tex] which is 7. You can do this by dividing both sides of the equation by 7.
3. Divide both sides by 7:
[tex]\[
\frac{7x}{7} = \frac{63}{7}
\][/tex]
4. Simplify both sides:
On the left side, [tex]\( \frac{7x}{7} \)[/tex] simplifies to [tex]\( x \)[/tex]. On the right side, [tex]\( \frac{63}{7} \)[/tex] simplifies to 9.
5. Write the simplified equation:
[tex]\[
x = 9
\][/tex]
So, the value of [tex]\( x \)[/tex] is [tex]\( 9 \)[/tex].
