Question

Fill in the spaces to solve each step of the problem 14(x+3)=5
1
4
(
𝑥
+
3
)
=
5
.(2 points)
Step 1: ()14(x+3)=5
1
4
(
𝑥
+
3
)
=
5
().
Step 2: x+3=
𝑥
+
3
=
.
Step 3: Subtract from both sides.
Step 4: x=
𝑥
=.....

Answer 1

Let's solve the equation \( 14(x + 3) = 5 \) step-by-step.

**Step 1:** Write the equation in a simpler form.
\[
14(x + 3) = 5
\]

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

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

**Step 4:** To combine the terms, express 3 as a fraction with a denominator of 14:
\[
x = \frac{5}{14} - \frac{42}{14} = \frac{5 - 42}{14} = \frac{-37}{14}
\]

So, filling in the blanks:

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