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What is the solution of the equation  2(x + 9) = 16 when solving for x ?(1 point)

Complete the statement: x = _____.

11 answers

To solve the equation \( 2(x + 9) = 16 \), follow these steps:

  1. Divide both sides of the equation by 2:

\[ x + 9 = \frac{16}{2} \] \[ x + 9 = 8 \]

  1. Subtract 9 from both sides:

\[ x = 8 - 9 \] \[ x = -1 \]

Thus, the solution is:

x = -1.

What is the solution of the equation  8(x − 10) = 56 when solving for x ?(1 point)
Complete the statement: x =  _____.

To solve the equation \( 8(x - 10) = 56 \), follow these steps:

  1. Divide both sides of the equation by 8:

\[ x - 10 = \frac{56}{8} \] \[ x - 10 = 7 \]

  1. Add 10 to both sides:

\[ x = 7 + 10 \] \[ x = 17 \]

Thus, the solution is:

x = 17.

What is the solution of the equation  10(z − 1) = 50 when solving for z ?(1 point)
Complete the statement: z =_______  .

To solve the equation \( 10(z - 1) = 50 \), follow these steps:

  1. Divide both sides of the equation by 10:

\[ z - 1 = \frac{50}{10} \] \[ z - 1 = 5 \]

  1. Add 1 to both sides:

\[ z = 5 + 1 \] \[ z = 6 \]

Thus, the solution is:

z = 6.

What is the solution to the equation  5(x − 10) = 65 when solving for x ?(1 point)
Complete the statement: x =  .

To solve the equation \( 5(x - 10) = 65 \), follow these steps:

  1. Divide both sides of the equation by 5:

\[ x - 10 = \frac{65}{5} \] \[ x - 10 = 13 \]

  1. Add 10 to both sides:

\[ x = 13 + 10 \] \[ x = 23 \]

Thus, the solution is:

x = 23.

What is the solution to the equation −4(x − 8) =−32 when solving for x?(1 point)
Complete the statement: x =  .

To solve the equation \( -4(x - 8) = -32 \), follow these steps:

  1. Divide both sides of the equation by -4:

\[ x - 8 = \frac{-32}{-4} \] \[ x - 8 = 8 \]

  1. Add 8 to both sides:

\[ x = 8 + 8 \] \[ x = 16 \]

Thus, the solution is:

x = 16.

Identify the first step in solving this equation for x :  7(x − 8) = 49 . (1 point)
Responses

Divide both sides by 7.
Divide both sides by 7.

Add 8 to both sides.
Add 8 to both sides.

Divide only the left side by 7.
Divide only the left side by 7.

Multiply both sides by 7.

The first step in solving the equation \( 7(x - 8) = 49 \) is to divide both sides by 7.

So the correct response is:

Divide both sides by 7.