Let's solve the equation step by step:

Given:
\[
2.1x + 1.3x - 4.6 = 2.2
\]

1. **Combine like terms** on the left-hand side:
\[
(2.1x + 1.3x) - 4.6 = 2.2
\]
\[
3.4x - 4.6 = 2.2
\]

2. **Add 4.6 to both sides** to isolate the term with \( x \):
\[
3.4x = 2.2 + 4.6
\]
\[
3.4x = 6.8
\]

3. **Divide both sides by 3.4** to solve for \( x \):
\[
x = \frac{6.8}{3.4} = 2
\]

Thus, the solution is:
\[
x = 2
\]

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

Here are 5 related questions to practice:
1. Solve \( 3.5x + 2.2x - 5.7 = 1.9 \).
2. If \( 4.2x - 1.6x + 3.8 = 5.6 \), what is \( x \)?
3. What is the solution to \( 6.1x + 0.9x - 2.7 = 3.3 \)?
4. Solve \( 7.3x - 4.3x + 1.9 = 8.5 \).
5. If \( 5x + 3x - 7 = 10 \), what is \( x \)?

**Tip:** Always combine like terms first to simplify the equation before isolating the variable!

Learn how to solve the linear equation 2.1x + 1.3x - 4.6 = 2.2 with a step-by-step solution. This problem involves combining like terms and applying basic algebraic principles. Ideal for students in Grades 6-8.

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