If the equation x/5 + 2 = 8 is solved for x, what is the solution?

To solve the equation ( \frac{x}{5} + 2 = 8 ), we first isolate the term containing ( x ). This can be done by subtracting 2 from both sides of the equation:

[

\frac{x}{5} = 8 - 2

]

This simplifies to:

[

\frac{x}{5} = 6

]

Next, to eliminate the fraction, we multiply both sides of the equation by 5:

[

x = 6 \times 5

]

Calculating the right-hand side gives:

[

x = 30

]

Thus, the solution to the equation is 30. This value satisfies the original equation when substituted back in.

In this case, we can verify that if ( x = 30 ):

[

\frac{30}{5} + 2 = 6 + 2 = 8

]

This confirms that 30 is indeed the correct solution to the equation.