consider the following equation

Question

2/3x - 5 = 27
Determine the best Two steps to solve the equation
Identify the solution

Answer 1

To solve the equation \( \frac{2}{3}x - 5 = 27 \), we can take the following two steps:

Step 1: Add 5 to both sides.

\[ \frac{2}{3}x - 5 + 5 = 27 + 5 \] This simplifies to: \[ \frac{2}{3}x = 32 \]

Step 2: Multiply both sides by \( \frac{3}{2} \) to isolate \( x \).

\[ x = 32 \times \frac{3}{2} \] Calculating the right-hand side: \[ x = 32 \times 1.5 = 48 \]

Solution

The solution to the equation \( \frac{2}{3}x - 5 = 27 \) is: \[ x = 48 \]

Answer 2

-2x - 5 = -21

determine the best Two steps to solve the equation.
identify the solution

Answer 3

To solve the equation \(-2x - 5 = -21\), we can take the following two steps:

Step 1: Add 5 to both sides.

\[ -2x - 5 + 5 = -21 + 5 \] This simplifies to: \[ -2x = -16 \]

Step 2: Divide both sides by \(-2\) to isolate \(x\).

\[ x = \frac{-16}{-2} \] This simplifies to: \[ x = 8 \]

Solution

The solution to the equation \(-2x - 5 = -21\) is: \[ x = 8 \]