Question
Solve Multi-Step Linear Equations Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
5 of 55 of 5 Items
Question
Solve for x
: −2(3x−15)−4=56
.(1 point)
x=
Answers
GPT-4o mini
To solve for \( x \) in the equation:
\[
-2(3x - 15) - 4 = 56
\]
Let's start by distributing the \(-2\):
\[
-2 \cdot 3x + 2 \cdot 15 - 4 = 56
\]
This simplifies to:
\[
-6x + 30 - 4 = 56
\]
Now, combine like terms on the left side:
\[
-6x + 26 = 56
\]
Next, isolate the term with \( x \) by subtracting 26 from both sides:
\[
-6x = 56 - 26
\]
This simplifies to:
\[
-6x = 30
\]
Now, divide both sides by -6 to solve for \( x \):
\[
x = \frac{30}{-6} = -5
\]
Thus, the solution is:
\[
\boxed{-5}
\]
\[
-2(3x - 15) - 4 = 56
\]
Let's start by distributing the \(-2\):
\[
-2 \cdot 3x + 2 \cdot 15 - 4 = 56
\]
This simplifies to:
\[
-6x + 30 - 4 = 56
\]
Now, combine like terms on the left side:
\[
-6x + 26 = 56
\]
Next, isolate the term with \( x \) by subtracting 26 from both sides:
\[
-6x = 56 - 26
\]
This simplifies to:
\[
-6x = 30
\]
Now, divide both sides by -6 to solve for \( x \):
\[
x = \frac{30}{-6} = -5
\]
Thus, the solution is:
\[
\boxed{-5}
\]