To solve the equation \( 5 - 6x = -7 \), we can follow these steps:
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Subtract 5 from both sides to isolate the term with \( x \):
\[ 5 - 6x - 5 = -7 - 5 \]
This simplifies to:
\[ -6x = -12 \]
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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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