To solve the equation [tex]\(2x + 4 = 4x - 2\)[/tex], we will follow a series of logical mathematical steps to isolate [tex]\(x\)[/tex]. Here's the step-by-step solution:
1. Add 2 to both sides of the equation:
Given equation:
[tex]\[
2x + 4 = 4x - 2
\][/tex]
Adding 2 to both sides:
[tex]\[
2x + 4 + 2 = 4x - 2 + 2
\][/tex]
Simplifying this, we get:
[tex]\[
2x + 6 = 4x
\][/tex]
2. Subtract [tex]\(2x\)[/tex] from both sides:
[tex]\[
2x + 6 - 2x = 4x - 2x
\][/tex]
Simplifying this, we get:
[tex]\[
6 = 2x
\][/tex]
3. Divide by 2:
[tex]\[
\frac{6}{2} = \frac{2x}{2}
\][/tex]
Simplifying this, we get:
[tex]\[
3 = x
\][/tex]
Therefore, the correct value of [tex]\(x\)[/tex] is 3.
The correct reasoning to solve for [tex]\(x\)[/tex] in this equation is:
Add 2, subtract [tex]\(2x\)[/tex], then divide by 2.
