Question

linear equations w/ distribution (lev 3)
score: 0/6 penalty: 1 off
question
solve for x:
-7x - (x + 6) = 9 + 2x
answer attempt 1 out of 3
x =
submit answer

Explanation:

Step1: Distribute the negative sign

We have the equation \(-7x - (x + 6) = 9 + 2x\). Distribute the negative sign to the terms inside the parentheses: \(-7x - x - 6 = 9 + 2x\).

Step2: Combine like terms on the left

Combine the \(x\)-terms on the left side: \(-8x - 6 = 9 + 2x\).

Step3: Add \(8x\) to both sides

To get all the \(x\)-terms on one side, add \(8x\) to both sides: \(-8x + 8x - 6 = 9 + 2x + 8x\), which simplifies to \(-6 = 9 + 10x\).

Step4: Subtract 9 from both sides

Subtract 9 from both sides to isolate the term with \(x\): \(-6 - 9 = 9 - 9 + 10x\), so \(-15 = 10x\).

Step5: Divide both sides by 10

Divide both sides by 10 to solve for \(x\): \(x = \frac{-15}{10}\), which simplifies to \(x = -\frac{3}{2}\) or \(x = -1.5\).

Answer:

\(x = -\frac{3}{2}\) (or \(x = -1.5\))