Question

question
solve for ( x ):
( 7x - 10 = 2x - 30 )

Explanation:

Step1: Subtract \(2x\) from both sides

To get the \(x\)-terms on one side, we subtract \(2x\) from each side of the equation \(7x - 10 = 2x - 30\). This gives us \(7x - 2x - 10 = 2x - 2x - 30\), which simplifies to \(5x - 10 = -30\).

Step2: Add 10 to both sides

Next, we want to isolate the term with \(x\), so we add 10 to both sides of the equation \(5x - 10 = -30\). This results in \(5x - 10 + 10 = -30 + 10\), which simplifies to \(5x = -20\).

Step3: Divide by 5

Finally, to solve for \(x\), we divide both sides of the equation \(5x = -20\) by 5. So, \(\frac{5x}{5} = \frac{-20}{5}\), which gives us \(x = -4\).

Answer:

\(x = -4\)