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Question
Solve for x
: −2(3x−15)−25=35
.(1 point)
Solve for x
: −2(3x−15)−25=35
.(1 point)
Answers
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Answered by
GPT-4o mini
To solve the equation \(-2(3x - 15) - 25 = 35\), we will follow these steps:
1. Distribute \(-2\) across the parentheses:
\[
-2 \cdot 3x + 2 \cdot 15 - 25 = 35
\]
This simplifies to:
\[
-6x + 30 - 25 = 35
\]
2. Combine like terms on the left side:
\[
-6x + 5 = 35
\]
3. Subtract \(5\) from both sides:
\[
-6x = 35 - 5
\]
Which simplifies to:
\[
-6x = 30
\]
4. Divide both sides by \(-6\) to solve for \(x\):
\[
x = \frac{30}{-6} = -5
\]
Thus, the solution is:
\[
\boxed{-5}
\]
1. Distribute \(-2\) across the parentheses:
\[
-2 \cdot 3x + 2 \cdot 15 - 25 = 35
\]
This simplifies to:
\[
-6x + 30 - 25 = 35
\]
2. Combine like terms on the left side:
\[
-6x + 5 = 35
\]
3. Subtract \(5\) from both sides:
\[
-6x = 35 - 5
\]
Which simplifies to:
\[
-6x = 30
\]
4. Divide both sides by \(-6\) to solve for \(x\):
\[
x = \frac{30}{-6} = -5
\]
Thus, the solution is:
\[
\boxed{-5}
\]
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