You’re trying to find how many solutions the equation 3(x+12)=3x+4 has. Let’s start by getting rid of the parentheses. One way to do that is to divide both sides by the factor in front of the parentheses, 3. That step has been recorded for you. Now keep going. Divide both sides by 3 to rewrite the equation.

Question

3x+12
=
3(x+4)
3
3

=

Answer 1

To solve the equation \( 3(x + 12) = 3x + 4 \), we start by dividing both sides by 3.

First, we have:

\[ \frac{3(x + 12)}{3} = \frac{3x + 4}{3} \]

This simplifies to:

\[ x + 12 = x + \frac{4}{3} \]

Next, we will isolate \( x \) to see if there are any solutions. Subtract \( x \) from both sides:

\[ 12 = \frac{4}{3} \]

This is clearly a contradiction, as 12 does not equal \(\frac{4}{3}\).

Since the original equation simplifies to a false statement, the equation \( 3(x + 12) = 3x + 4 \) has no solutions.