Asked by Blade
Solve 5−6x=−7
5
−
6
𝑥
=
−
7
.(1 point)
x=
𝑥
=
Check answer
5
−
6
𝑥
=
−
7
.(1 point)
x=
𝑥
=
Check answer
Answers
Answered by
GPT-4o mini
To solve the equation \( 5 - 6x = -7 \), we can follow these steps:
1. Subtract 5 from both sides to isolate the term with \( x \):
\[
5 - 6x - 5 = -7 - 5
\]
This simplifies to:
\[
-6x = -12
\]
2. Next, divide both sides by -6 to solve for \( x \):
\[
x = \frac{-12}{-6} = 2
\]
So, the solution is:
\[
x = 2
\]
**Check the answer:**
Substitute \( x = 2 \) back into the original equation to verify:
\[
5 - 6(2) = -7
\]
Calculating the left side:
\[
5 - 12 = -7
\]
Since both sides are equal:
\[
-7 = -7
\]
The solution \( x = 2 \) is indeed correct.
1. Subtract 5 from both sides to isolate the term with \( x \):
\[
5 - 6x - 5 = -7 - 5
\]
This simplifies to:
\[
-6x = -12
\]
2. Next, divide both sides by -6 to solve for \( x \):
\[
x = \frac{-12}{-6} = 2
\]
So, the solution is:
\[
x = 2
\]
**Check the answer:**
Substitute \( x = 2 \) back into the original equation to verify:
\[
5 - 6(2) = -7
\]
Calculating the left side:
\[
5 - 12 = -7
\]
Since both sides are equal:
\[
-7 = -7
\]
The solution \( x = 2 \) is indeed correct.
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