Question

question
solve for ( x ):
( 9 - 5(-x - 6) = 1 - 5x )

Explanation:

Step1: Distribute -5

First, we distribute the -5 into the parentheses. Using the distributive property \(a(b + c)=ab+ac\), we have:
\(9 - 5(-x)-5(-6)=1 - 5x\)
Simplifying the multiplication: \(9 + 5x+ 30=1 - 5x\)

Step2: Combine like terms

Combine the constant terms on the left side:
\(9 + 30+5x=1 - 5x\)
\(39 + 5x=1 - 5x\)

Step3: Add 5x to both sides

To get all the x terms on one side, we add \(5x\) to both sides of the equation:
\(39 + 5x+5x=1 - 5x+5x\)
Simplifying both sides: \(39 + 10x=1\)

Step4: Subtract 39 from both sides

Subtract 39 from both sides to isolate the term with x:
\(39 + 10x-39=1 - 39\)
Simplifying both sides: \(10x=- 38\)

Step5: Divide by 10

Divide both sides by 10 to solve for x:
\(x=\frac{-38}{10}\)
Simplify the fraction: \(x =-\frac{19}{5}=-3.8\)

Answer:

\(x =-\frac{19}{5}\) (or \(x=-3.8\))