Question

subtract 3x from each side to rewrite the equation.
1/2(6x + 2) = 3x
3x + 1 = 3x
-3 = -3
? = ?

Answer 1

Let's rewrite the equation step by step.

Starting from the original equation:

\[
\frac{1}{2}(6x + 2) = 3x
\]

First, let's distribute the \(\frac{1}{2}\):

\[
\frac{1}{2} \cdot 6x + \frac{1}{2} \cdot 2 = 3x
\]

This simplifies to:

\[
3x + 1 = 3x
\]

Next, we will subtract \(3x\) from both sides of the equation:

\[
3x + 1 - 3x = 3x - 3x
\]

This simplifies to:

\[
1 = 0
\]

However, this is a contradiction (1 does not equal 0), which suggests that there is no solution to the equation.

So the final response is:

\[
1 \neq 0
\]

Thus, the equation has no solution.