To solve the equation \( 1.3x + 5 = -5.4 \):

### Step 1: Subtract 5 from both sides to isolate the term with \( x \).
\[
1.3x = -5.4 - 5
\]
\[
1.3x = -10.4
\]

### Step 2: Divide both sides by 1.3 to solve for \( x \).
\[
x = \frac{-10.4}{1.3}
\]
\[
x = -8
\]

Thus, the solution is \( x = -8 \).

Would you like more details or have any questions? Here are some related problems:

1. Solve \( 2x + 7 = -3 \).
2. Solve \( 1.5x + 4 = -8.1 \).
3. Solve \( 3.6x - 9 = 4.2 \).
4. Solve \( 0.8x + 12 = 1.6 \).
5. Solve \( 2.2x - 3 = -7.4 \).

**Tip**: When solving linear equations, always simplify the equation step by step, focusing on isolating the variable.

Learn how to solve the linear equation 1.3x + 5 = -5.4 with a detailed step-by-step solution. This problem covers essential algebraic concepts such as linear equations and arithmetic operations. Suitable for students in Grades 6-8.

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