Question

Four times the sound of a number and four is the same as 2 multiplied by two less than three times the number

Answer 1

Let's let the unknown number be represented by \( x \).

According to the problem:

- "Four times the sound of a number" can be expressed as \( 4x \).
- "Two less than three times the number" can be expressed as \( 3x - 2 \).
- "Two multiplied by two less than three times the number" can be expressed as \( 2(3x - 2) \).

Now, we can set up the equation based on the information given:

\[
4x = 2(3x - 2)
\]

Now, let's solve the equation:

1. Start by distributing on the right side:
\[
4x = 6x - 4
\]

2. Next, move the \( 6x \) term to the left side by subtracting \( 6x \) from both sides:
\[
4x - 6x = -4
\]
\[
-2x = -4
\]

3. Now, divide both sides by -2:
\[
x = 2
\]

The solution to the equation is \( x = 2 \).