Questions: Write the following sentence as an equation. Use x to represent "a number."
A number added to -4 is -6.
The equation is x + (-4) = -6
Transcript text: Write the following sentence as an equation. Use x to represent "a number."
A number added to -4 is -6 .
The equation is $\square$
Solution
Solution Steps
To translate the given sentence into an equation, identify the unknown number as \( x \). The sentence "A number added to -4 is -6" can be expressed as an equation by setting up the addition of \( x \) and \(-4\) equal to \(-6\).
Step 1: Set Up the Equation
From the sentence "A number added to -4 is -6", we can express this mathematically as:
\[
x - 4 = -6
\]
Step 2: Solve the Equation
To isolate \( x \), we add \( 4 \) to both sides of the equation:
\[
x - 4 + 4 = -6 + 4
\]
This simplifies to:
\[
x = -2
\]
Final Answer
The solution to the equation is
\[
\boxed{x = -2}
\]