subtract 3x from each side to rewrite the equation.

Question

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

GPT-4o mini · Answer

Let's rewrite the equation step by step.

Starting from the original equation:

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

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

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

This simplifies to:

$3 x + 1 = 3 x$

Next, we will subtract $3 x$ from both sides of the equation:

$3 x + 1 - 3 x = 3 x - 3 x$

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.