Question

question
solve for ( x ):
( -5x - 7 = -x - 35 )

Explanation:

Step1: Add \(5x\) to both sides

To get all \(x\)-terms on one side, we add \(5x\) to both sides of the equation \(-5x - 7=-x - 35\). This gives \(-5x - 7+5x=-x - 35+5x\), which simplifies to \(-7 = 4x-35\).

Step2: Add 35 to both sides

Next, we add 35 to both sides to isolate the term with \(x\). So, \(-7 + 35=4x-35 + 35\), which simplifies to \(28 = 4x\).

Step3: Divide by 4

Finally, we divide both sides by 4 to solve for \(x\). \(\frac{28}{4}=\frac{4x}{4}\), which gives \(x = 7\).

Answer:

\(x = 7\)