Question

linear equations w/ distribution (lev 3)
score: 0/5 penalty: none
question
solve for x:
3(-5x - 3)=-10x-(x - 6)

Explanation:

Step1: Expand both sides

$3\times(-5x - 3)=-15x-9$ and $-10x-(x - 6)=-10x - x+6=-11x + 6$. So the equation becomes $-15x-9=-11x + 6$.

Step2: Add $15x$ to both sides

$-15x-9 + 15x=-11x + 6+15x$, which simplifies to $-9 = 4x+6$.

Step3: Subtract 6 from both sides

$-9-6=4x+6 - 6$, resulting in $-15 = 4x$.

Step4: Divide both sides by 4

$\frac{-15}{4}=\frac{4x}{4}$, so $x=-\frac{15}{4}$.

Answer:

$x =-\frac{15}{4}$