Question

35x + 10 = 20x + 175

Explanation:

Step1: Subtract 20x from both sides

To isolate the variable terms on one side, we subtract \(20x\) from both sides of the equation \(35x + 10 = 20x + 175\). This gives us \((35x - 20x)+ 10=(20x - 20x)+ 175\), which simplifies to \(15x+10 = 175\).

Step2: Subtract 10 from both sides

Next, we want to isolate the term with the variable. So we subtract 10 from both sides of the equation \(15x + 10 = 175\). This results in \(15x+10 - 10=175 - 10\), which simplifies to \(15x=165\).

Step3: Divide both sides by 15

To solve for \(x\), we divide both sides of the equation \(15x = 165\) by 15. So we have \(\frac{15x}{15}=\frac{165}{15}\), which gives \(x = 11\).

Answer:

\(x = 11\)