Now that we have all the x terms on the left, we can solve for the value of x. Think about what you could do to each side so that x is isolated on the left side of the equation. Then, rewrite the equation to solve for x.

Question

6x+3 = 5(x+3)
6x + 3 = 5x + 15
−5x − 5x
x+3 = 15
x=

Answer 1

Let's solve the equation step by step.

You started with the equation:

\[ 6x + 3 = 5(x + 3) \]

Expanding the right side gives:

\[ 6x + 3 = 5x + 15 \]

Next, you correctly subtracted \(5x\) from both sides to get all the x terms on the left:

\[ 6x - 5x + 3 = 15 \]

This simplifies to:

\[ x + 3 = 15 \]

Now, to isolate \(x\), subtract 3 from both sides:

\[ x + 3 - 3 = 15 - 3 \]

This simplifies to:

\[ x = 12 \]

Therefore, the solution for \(x\) is:

\[ \boxed{12} \]