Question

due sunday by 11:59pm points 10 submitting an external tool
question
solve the following equation for x:
-5(x - 4) + 2 = -1 + (x + 6)
enter your answer as a fraction if necessary.
provide your answer below:
x =
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Explanation:

Step1: Expand both sides

Expand \(-5(x - 4)+2\) using the distributive property \(a(b - c)=ab - ac\). So, \(-5(x - 4)+2=-5x+20 + 2=-5x + 22\).
Expand \(-1+(x + 6)\) to get \(x+(-1 + 6)=x + 5\).
The equation becomes \(-5x+22=x + 5\).

Step2: Move \(x\) terms to one side

Add \(5x\) to both sides of the equation.
\(-5x+22+5x=x + 5+5x\).
Simplify to get \(22 = 6x+5\).

Step3: Isolate the term with \(x\)

Subtract \(5\) from both sides. \(22-5=6x+5 - 5\).
So, \(17 = 6x\).

Step4: Solve for \(x\)

Divide both sides by \(6\). \(x=\frac{17}{6}\).

Answer:

\(x=\frac{17}{6}\)