Fill in the spaces to solve each step of the problem 14(x+3)=5

Question

.(2 points)
Step 1: (
)14(x+3)=5
(
).
Step 2: x+3=

.
Step 3: Subtract
from both sides.
Step 4: x=

Answer 1

Let's solve the equation step by step.

Given: \[ 14(x + 3) = 5 \]

Step 1: Distribute the 14.

• \(14\) is multiplied by \((x + 3)\).
• \(14(x + 3) = 5\) remains unchanged.

So the answer is:

1. (multiply) \(14\)14(x+3)=5
2. \(14\)

Step 2: Divide both sides by 14. \[ x + 3 = \frac{5}{14} \]

So, the answer is:

• \(x + 3 = \frac{5}{14}\)

Step 3: Subtract 3 from both sides. \[ x = \frac{5}{14} - 3 \]

So, the answer is:

• Subtract \(3\) from both sides.

Step 4: Now subtract \(3\) (which can be written as \(\frac{42}{14}\)) from \(\frac{5}{14}\): \[ x = \frac{5}{14} - \frac{42}{14} \] \[ x = \frac{5 - 42}{14} \] \[ x = \frac{-37}{14} \]

So, the answer is:

• \(x = \frac{-37}{14}\)

Putting it all together, here are the filled-in steps:

1. (multiply) \(14\)14(x+3)=5
2. \(14\)
3. Subtract \(3\) from both sides.
4. \(x = \frac{-37}{14}\)