What is the solution of the equation 2(x + 9) = 16

Question

2
(
𝑥

+

9
)

=

16
when solving for x
𝑥
?(1 point)
Complete the statement: x =
𝑥

=
show your work

Answer 1

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

1. Start by distributing the 2 on the left side of the equation: \[ 2x + 18 = 16 \]

2. Next, isolate \( 2x \) by subtracting 18 from both sides: \[ 2x + 18 - 18 = 16 - 18 \] This simplifies to: \[ 2x = -2 \]

3. Now, divide both sides by 2 to solve for \( x \): \[ x = \frac{-2}{2} \] This simplifies to: \[ x = -1 \]

So, the solution is: \[ \boxed{-1} \]

Complete the statement: \( x = -1 \)