To solve the given equation [tex]\(\frac{x}{10} = 5\)[/tex], follow these steps:
1. Understand the given equation: We have [tex]\(\frac{x}{10} = 5\)[/tex], which means that when [tex]\(x\)[/tex] is divided by 10, the result is 5.
2. Isolate the variable [tex]\(x\)[/tex]: To isolate [tex]\(x\)[/tex], we need to eliminate the fraction. This can be done by performing the inverse operation of division, which is multiplication.
3. Multiply both sides of the equation by 10: This will help us to remove the 10 in the denominator on the left side of the equation:
[tex]\[
\left(\frac{x}{10}\right) \times 10 = 5 \times 10
\][/tex]
4. Simplify both sides: On the left side, [tex]\(\frac{x}{10} \times 10\)[/tex] simplifies to [tex]\(x\)[/tex] because the 10s cancel out. On the right side, we multiply 5 by 10:
[tex]\[
x = 50
\][/tex]
Therefore, the value of [tex]\(x\)[/tex] is [tex]\(50\)[/tex].
