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two step equations - review score: 5/20 answered: 5/20 question 6 solve…

Question

two step equations - review
score: 5/20 answered: 5/20
question 6
solve the following.
19x = -209
x =
question help: video

Explanation:

Step1: Isolate the variable \( x \)

To solve for \( x \) in the equation \( 19x = -209 \), we need to divide both sides of the equation by 19. This is because the coefficient of \( x \) is 19, and dividing by the coefficient will give us the value of \( x \) alone.
\[
\frac{19x}{19} = \frac{-209}{19}
\]

Step2: Simplify both sides

Simplifying the left side, \( \frac{19x}{19} \) simplifies to \( x \). For the right side, we calculate \( \frac{-209}{19} \). Since \( 19 \times 11 = 209 \), \( \frac{-209}{19} = -11 \).
\[
x = -11
\]

Answer:

\( -11 \)