Question

linear equations w/ distribution (lev 3)
score 0/1 penalty: 1 off
question
solve for x:
4x - (9x + 9) + 1 = 5x - 1
answer attempt 1 out of 2
x =
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Explanation:

Step1: Distribute the negative sign

First, we distribute the negative sign in front of the parentheses: \(4x - 9x - 9 + 1 = 5x - 1\)

Step2: Combine like terms on the left

Combine the \(x\)-terms and the constant terms on the left side: \(-5x - 8 = 5x - 1\)

Step3: Add \(5x\) to both sides

Add \(5x\) to both sides to get all \(x\)-terms on one side: \(-8 = 10x - 1\)

Step4: Add 1 to both sides

Add 1 to both sides to isolate the term with \(x\): \(-7 = 10x\)

Step5: Divide by 10

Divide both sides by 10 to solve for \(x\): \(x = -\frac{7}{10}\)

Answer:

\(x = -\frac{7}{10}\)