What is the value of *x* in this equation?

5*x* − 2(2*x* − 1) = 6

To solve for \( x \) in the equation:

\[
5x - 2(2x - 1) = 6
\]

we'll first distribute the \(-2\) through the parentheses.

### Step 1: Distribute the \(-2\)

\[
5x - 2 \cdot 2x + 2 \cdot 1 = 6
\]

This simplifies to:

\[
5x - 4x + 2 = 6
\]

### Step 2: Combine like terms

Combine the terms involving \( x \):

\[
(5x - 4x) + 2 = 6
\]

which simplifies to:

\[
x + 2 = 6
\]

### Step 3: Solve for \( x \)

Subtract 2 from both sides:

\[
x = 6 - 2
\]

\[
x = 4
\]

### Final Answer:

\[
x = 4
\]

Would you like further details or have any questions about the solution?

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Here are some related questions you might find interesting:

1. What if there was a different coefficient in front of \( x \)?
2. How would the solution change if the constant on the right side were different?
3. What happens if both sides of the equation have expressions with \( x \)?
4. How can we check if our solution for \( x \) is correct?
5. What are some methods for solving more complex algebraic equations?

**Tip:** Always double-check your distribution and combining of like terms to avoid simple mistakes in algebra.

What is the value of x in this equation? 5x − 2(2x − 1) = 6

Learn how to solve the linear equation 5x − 2(2x − 1) = 6 step by step. This solution includes using the distributive property, combining like terms, and solving for x. Suitable for students in Grades 6-8.

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