Question

linear equations w/ distribution (lev 3)
score: 0/2 penalty: none
question
solve for x:
-4x + 2(x + 4)=-7x-(x + 1)
answer attempt 1 out of 4
x =

Explanation:

Step1: Expand both sides

Expand $2(x + 4)$ to $2x+8$ and $-(x + 1)$ to $-x - 1$. The equation becomes $-4x+2x + 8=-7x-x - 1$.

Step2: Combine like - terms on both sides

On the left - hand side, $-4x+2x=-2x$, so the left - hand side is $-2x + 8$. On the right - hand side, $-7x-x=-8x$, so the right - hand side is $-8x - 1$. The equation is now $-2x + 8=-8x - 1$.

Step3: Add $8x$ to both sides

$-2x+8x + 8=-8x+8x - 1$, which simplifies to $6x + 8=-1$.

Step4: Subtract 8 from both sides

$6x+8 - 8=-1 - 8$, resulting in $6x=-9$.

Step5: Divide both sides by 6

$x=\frac{-9}{6}=-\frac{3}{2}$.

Answer:

$-\frac{3}{2}$