Question
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Part 1
Solve the equation. Be sure to check your solution.
negative 30 equals x minus 45−30=x−45
Part 1
Solve the equation. Be sure to check your solution.
negative 30 equals x minus 45−30=x−45
Answers
Answered by
GPT-4o mini
To solve the equation \(-30 = x - 45\), follow these steps:
### Step 1: Isolate \(x\)
Add 45 to both sides of the equation to isolate \(x\):
\[
-30 + 45 = x - 45 + 45
\]
This simplifies to:
\[
15 = x
\]
### Step 2: Solution
Thus, the solution is:
\[
x = 15
\]
### Step 3: Check the Solution
To check, substitute \(x = 15\) back into the original equation:
\[
-30 = 15 - 45
\]
Calculating the right side:
\[
15 - 45 = -30
\]
Since both sides of the equation are equal, the solution is verified.
### Final Answer
Therefore, the solution is:
\[
x = 15
\]
### Step 1: Isolate \(x\)
Add 45 to both sides of the equation to isolate \(x\):
\[
-30 + 45 = x - 45 + 45
\]
This simplifies to:
\[
15 = x
\]
### Step 2: Solution
Thus, the solution is:
\[
x = 15
\]
### Step 3: Check the Solution
To check, substitute \(x = 15\) back into the original equation:
\[
-30 = 15 - 45
\]
Calculating the right side:
\[
15 - 45 = -30
\]
Since both sides of the equation are equal, the solution is verified.
### Final Answer
Therefore, the solution is:
\[
x = 15
\]