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linear equations w/ distribution (lev 2) question solve for x. 4(−2x−4)…

Question

linear equations w/ distribution (lev 2)
question
solve for x.
4(−2x−4)−3x−5 = 1
answer
attempt 2 out of 2
x =

Explanation:

Step1: Expand the expression

$4(-2x - 4)-3x - 5=1$ becomes $-8x-16 - 3x-5 = 1$.

Step2: Combine like - terms

Combining $x$ terms and constant terms, we get $(-8x-3x)+(-16 - 5)=1$, which simplifies to $-11x-21 = 1$.

Step3: Isolate the term with $x$

Add 21 to both sides: $-11x-21 + 21=1 + 21$, resulting in $-11x=22$.

Step4: Solve for $x$

Divide both sides by - 11: $x=\frac{22}{-11}$.

Answer:

$x=-2$