Question

question
solve for x.
3(-2x - 1) + x - 2 = 25
answer attempt 1 out of 2
x =
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Explanation:

Step1: Expand the bracket

First, we expand \( 3(-2x - 1) \) using the distributive property \( a(b + c)=ab+ac \). So, \( 3(-2x - 1)=3\times(-2x)+3\times(-1)= -6x - 3 \). The equation becomes \( -6x - 3 + x - 2 = 25 \).

Step2: Combine like terms

Next, we combine the \( x \)-terms and the constant terms. For the \( x \)-terms: \( -6x + x = -5x \). For the constant terms: \( -3 - 2 = -5 \). So the equation simplifies to \( -5x - 5 = 25 \).

Step3: Isolate the \( x \)-term

We add 5 to both sides of the equation to isolate the term with \( x \). \( -5x - 5 + 5 = 25 + 5 \), which simplifies to \( -5x = 30 \).

Step4: Solve for \( x \)

Finally, we divide both sides by -5 to solve for \( x \). \( \frac{-5x}{-5}=\frac{30}{-5} \), so \( x = -6 \).

Answer:

\( x = -6 \)