Question

linear equations w/ distribution (lev 3)
score: 1/2 penalty: none
question
solve for x:
-2(8x + 1) - 1 = -7(2x - 3) - x
answer attempt 1 out of 4
x =

Explanation:

Step1: Expand both sides

• Expand $-2(8x + 1)-1$ to $-16x-2 - 1=-16x - 3$.
• Expand $-7(2x - 3)-x$ to $-14x+21 - x=-15x + 21$.

So the equation becomes $-16x - 3=-15x + 21$.

Step2: Add $16x$ to both sides

Adding $16x$ to both sides of the equation $-16x - 3=-15x + 21$ gives:
$-3=-15x+16x + 21$, which simplifies to $-3=x + 21$.

Step3: Subtract 21 from both sides

Subtracting 21 from both sides of $-3=x + 21$ gives:
$x=-3 - 21$.

Answer:

$x=-24$