Question

question
solve for ( x ):
( -3x - 7 = -8x - 57 )

Explanation:

Step1: Add \(8x\) to both sides

To get all \(x\)-terms on one side, we add \(8x\) to both sides of the equation \(-3x - 7 = -8x - 57\). This gives us \(-3x + 8x - 7 = -8x + 8x - 57\), which simplifies to \(5x - 7 = -57\).

Step2: Add 7 to both sides

Next, we add 7 to both sides to isolate the term with \(x\). So, \(5x - 7 + 7 = -57 + 7\), which simplifies to \(5x = -50\).

Step3: Divide by 5

Finally, we divide both sides by 5 to solve for \(x\). So, \(\frac{5x}{5} = \frac{-50}{5}\), which gives \(x = -10\).

Answer:

\(x = -10\)