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linear equations w/ distribution (lev 2) score: 0/2 penalty: none quest…

Question

linear equations w/ distribution (lev 2)
score: 0/2 penalty: none
question
solve for x.
2(2x - 5) - 2x + 4 = -18

Explanation:

Step1: Distribute the 2

$2\times(2x - 5)=4x-10$, so the equation becomes $4x - 10-2x + 4=-18$.

Step2: Combine like - terms

$(4x-2x)+(-10 + 4)=-18$, which simplifies to $2x-6=-18$.

Step3: Add 6 to both sides

$2x-6 + 6=-18 + 6$, resulting in $2x=-12$.

Step4: Divide both sides by 2

$\frac{2x}{2}=\frac{-12}{2}$, so $x=-6$.

Answer:

$x = - 6$