 
5
(
𝑥
+
3
)
=
2
𝑥
+
3
5(x+3)=2x+3

Let's solve the equation step by step:

Given equation:
\[
5(x + 3) = 2x + 3
\]

1. **Expand** the left side:
\[
5(x + 3) = 5x + 15
\]
So the equation becomes:
\[
5x + 15 = 2x + 3
\]

2. **Move all terms with** \( x \) **to one side** by subtracting \( 2x \) from both sides:
\[
5x - 2x + 15 = 3
\]
This simplifies to:
\[
3x + 15 = 3
\]

3. **Move the constant terms** to the other side by subtracting 15 from both sides:
\[
3x = 3 - 15
\]
\[
3x = -12
\]

4. **Solve for** \( x \) by dividing both sides by 3:
\[
x = \frac{-12}{3}
\]
\[
x = -4
\]

Thus, the solution is:
\[
x = -4
\]

Would you like more details on any of the steps or have further questions?

Here are 5 related questions to explore further:
1. How would you solve \( 4(x - 2) = 3x + 8 \)?
2. What happens if you have fractions in a similar equation?
3. Can you apply this method to inequalities, such as \( 6(x + 1) \geq 2x - 4 \)?
4. How do you check if the solution \( x = -4 \) satisfies the original equation?
5. What is the next step if the variable cancels out completely during the solution process?

**Tip:** When solving equations, always try to simplify each side as much as possible before moving terms around. This makes the process smoother!

Learn how to solve the linear equation 5(x + 3) = 2x + 3 step by step. This solution covers key algebraic concepts such as the distributive property and solving for x, making it ideal for students in Grades 7-9.

Math Problem Statement

5 ( 𝑥 + 3 )

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