Question

Question

Solve for x.

StartFraction 3 x over 8 EndFraction equals 6
(1 point)
Responses

x = 2.25
x = 2.25

x equals negative 16
Image with alt text: x equals negative 16

x = 144
x = 144

x = 16

Answer 1

To solve the equation

\[ \frac{3x}{8} = 6, \]

we can start by isolating \(x\).

1. Multiply both sides by 8 to eliminate the fraction:

\[ 3x = 6 \times 8. \]

Calculating the right-hand side:

\[ 3x = 48. \]

2. Now, divide both sides by 3 to solve for \(x\):

\[ x = \frac{48}{3}. \]

Calculating this gives:

\[ x = 16. \]

Thus, the solution is

\[ \boxed{16}. \]