Question

Use algebra tiles to find the value of x when the expression 6 x plus 2 equals 4 x plus 8.
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Part 1
The value of x is
  
enter your response here.

Answer 1

To solve the equation \(6x + 2 = 4x + 8\) using algebraic methods (as I can't use the tiles directly), we can follow these steps:

1. **Get all terms involving \(x\) on one side:**
Subtract \(4x\) from both sides of the equation:
\[
6x - 4x + 2 = 8
\]
This simplifies to:
\[
2x + 2 = 8
\]

2. **Get the constant terms on the other side:**
Subtract \(2\) from both sides:
\[
2x = 8 - 2
\]
This simplifies to:
\[
2x = 6
\]

3. **Solve for \(x\):**
Divide both sides by \(2\):
\[
x = \frac{6}{2}
\]
This simplifies to:
\[
x = 3
\]

So, the value of \(x\) is \(3\).