Question

linear equations w/ distribution (lev 1)
score: 0/5 penalty: none
question
solve.
2(x - 3) = -26

Explanation:

Step1: Distribute the 2

Using the distributive property \( a(b - c)=ab - ac \), we distribute the 2 to both terms inside the parentheses:
\( 2(x - 3)=2x-6 \), so the equation becomes \( 2x - 6=-26 \).

Step2: Add 6 to both sides

To isolate the term with \( x \), we add 6 to both sides of the equation:
\( 2x-6 + 6=-26 + 6 \)
Simplifying both sides, we get \( 2x=-20 \).

Step3: Divide by 2

To solve for \( x \), we divide both sides of the equation by 2:
\( \frac{2x}{2}=\frac{-20}{2} \)
Simplifying, we find \( x = - 10 \).

Answer:

\( x=-10 \)