What is the solution to 6𝑥−3+7=3x−36​ +7=3?A.3223​ B.−32− 23​ C.−23− 32​ D.2332​ SUBMITarrow_backPREVIOUS

1. Break Down the Problem

We need to solve the equation:

$6x - 3 + 7 = 3x - 36 + 7$

First, simplify both sides of the equation.

2. Relevant Concepts

We will combine like terms and isolate $x$.

3. Analysis and Detail

Step 1: Simplify both sides.

On the left side: $6x - 3 + 7 = 6x + 4$

On the right side: $3x - 36 + 7 = 3x - 29$

Thus, the equation becomes: $6x + 4 = 3x - 29$

Step 2: Isolate $x$.

Subtract $3x$ from both sides: $6x - 3x + 4 = -29$ $3x + 4 = -29$

Now, subtract 4 from both sides: $3x = -29 - 4$ $3x = -33$

Step 3: Solve for $x$.

Divide by 3: $x = \frac{-33}{3}$ $x = -11$

4. Verify and Summarize

The solution to the equation is $x = -11$.

Final Answer

Since none of the answer choices provided directly matches $-11$, it seems there might be a mistake in the transcription of the problem or the answer choices. However, the calculated solution is:

$\text{Final Answer: } x = -11$