Question

question
solve for ( x ):
( -3x - 6 = -7x + 34 )

Explanation:

Step1: Add \(7x\) to both sides

To get all \(x\)-terms on one side, we add \(7x\) to both sides of the equation \(-3x - 6 = -7x + 34\). This gives us \(-3x + 7x - 6 = -7x + 7x + 34\), which simplifies to \(4x - 6 = 34\).

Step2: Add 6 to both sides

Next, we add 6 to both sides to isolate the term with \(x\). So, \(4x - 6 + 6 = 34 + 6\), which simplifies to \(4x = 40\).

Step3: Divide by 4

Finally, we divide both sides by 4 to solve for \(x\). That is, \(\frac{4x}{4} = \frac{40}{4}\), which gives \(x = 10\).

Answer:

\(x = 10\)