To solve the equation:

\[
4x - ( -x + 1) + 1 = 6
\]

Let's simplify step by step:

1. Distribute the negative sign inside the parentheses:
\[
4x + x - 1 + 1 = 6
\]

2. Combine like terms:
\[
5x = 6
\]

3. Solve for \( x \) by dividing both sides by 5:
\[
x = \frac{6}{5}
\]

So, the solution is:

\[
x = \frac{6}{5} \text{ or } x = 1.2
\]

Do you have any questions or would you like more details on the solution?

Here are 5 related questions to practice:

1. Solve \( 3x - (-2x + 5) = 12 \).
2. Solve \( 7x - (3x + 4) + 6 = 10 \).
3. Simplify and solve: \( 2x - (-x + 3) - 2 = 5 \).
4. Solve \( 4x - (x - 2) + 3 = 9 \).
5. Solve \( 5x - (2x - 1) = 8 \).

**Tip:** When you see parentheses in an equation, always deal with the signs first, especially if there is a negative sign outside.

Learn how to solve the linear equation 4x - (-x + 1) + 1 = 6 with a clear step-by-step solution. This problem introduces key algebraic concepts like equation simplification and combining like terms, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation