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

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

• A. 30
• B. 25
• C. 35
• D. 40

Answer: (A)

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.

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.