Question

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

Explanation:

Step1: Simplify the right - hand side

First, we simplify the right - hand side of the equation \(-6x=-(x - 9)+1\). Using the distributive property \(a(b + c)=ab+ac\) (here \(a=- 1\), \(b = x\), \(c=-9\)), we get \(-(x - 9)=-x + 9\). So the equation becomes \(-6x=-x + 9+1\).

Step2: Combine like terms

Combine the constant terms on the right - hand side: \(9 + 1=10\). So the equation is \(-6x=-x + 10\).

Step3: Add \(x\) to both sides

Add \(x\) to both sides of the equation to get all the \(x\) terms on one side. \(-6x+x=-x + 10+x\), which simplifies to \(-5x = 10\).

Step4: Solve for \(x\)

Divide both sides of the equation \(-5x = 10\) by \(-5\). \(\frac{-5x}{-5}=\frac{10}{-5}\), so \(x=-2\).

Answer:

\(x = - 2\)