Question

question
solve for x:
-(3x + 8) + 6 = -(7x - 9)
answer attempt 1 out of 2
x =
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Explanation:

Step1: Distribute the negative signs

We start by distributing the negative signs on both sides of the equation. For the left side, \(-(3x + 8)\) becomes \(-3x - 8\), and for the right side, \(-(7x - 9)\) becomes \(-7x + 9\). So the equation is now:
\(-3x - 8 + 6 = -7x + 9\)

Step2: Simplify both sides

Combine like terms on the left side. \(-8 + 6 = -2\), so the equation simplifies to:
\(-3x - 2 = -7x + 9\)

Step3: Add \(7x\) to both sides

To get all the \(x\) terms on one side, we add \(7x\) to both sides. This gives:
\(-3x + 7x - 2 = -7x + 7x + 9\)
Simplifying both sides, we have:
\(4x - 2 = 9\)

Step4: Add 2 to both sides

Next, we add 2 to both sides to isolate the term with \(x\). So:
\(4x - 2 + 2 = 9 + 2\)
Simplifying, we get:
\(4x = 11\)

Step5: Divide by 4

Finally, we divide both sides by 4 to solve for \(x\):
\(x = \frac{11}{4}\)

Answer:

\(x = \frac{11}{4}\)