Question

question
solve for ( x ):
( 15x + 6 = 10x - 24 )

Explanation:

Step1: Subtract \(10x\) from both sides

To get all the \(x\)-terms on one side, we subtract \(10x\) from both sides of the equation \(15x + 6 = 10x - 24\). This gives us \(15x - 10x + 6 = 10x - 10x - 24\), which simplifies to \(5x + 6 = -24\).

Step2: Subtract 6 from both sides

Next, we want to isolate the term with \(x\). So we subtract 6 from both sides of the equation \(5x + 6 = -24\). This results in \(5x + 6 - 6 = -24 - 6\), which simplifies to \(5x = -30\).

Step3: Divide both sides by 5

To solve for \(x\), we divide both sides of the equation \(5x = -30\) by 5. So we have \(\frac{5x}{5}=\frac{-30}{5}\), which gives \(x = -6\).

Answer:

\(x = -6\)