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question solve for x. 3(-4x - 5)+5x + 4=-4 answer attempt 1 out of 2 x …

Question

question
solve for x.
3(-4x - 5)+5x + 4=-4
answer
attempt 1 out of 2
x =
submit answer

Explanation:

Step1: Expand the left - hand side

Use the distributive property \(a(b + c)=ab+ac\). So, \(3(-4x - 5)+5x + 4=-12x-15 + 5x+4\).

Step2: Combine like terms

\(-12x-15 + 5x+4=(-12x + 5x)+(-15 + 4)=-7x-11\). The equation becomes \(-7x-11=-4\).

Step3: Add 11 to both sides

\(-7x-11 + 11=-4 + 11\), which simplifies to \(-7x = 7\).

Step4: Divide both sides by - 7

\(\frac{-7x}{-7}=\frac{7}{-7}\), so \(x=-1\).

Answer:

\(x=-1\)