Question

1
3x + 7 = 8x - 5

Explanation:

Step1: Subtract \(3x\) from both sides

To get all \(x\)-terms on one side, subtract \(3x\) from both sides of the equation \(3x + 7 = 8x - 5\). This gives \(3x - 3x + 7 = 8x - 3x - 5\), which simplifies to \(7 = 5x - 5\).

Step2: Add 5 to both sides

To isolate the term with \(x\), add 5 to both sides. So, \(7 + 5 = 5x - 5 + 5\), which simplifies to \(12 = 5x\).

Step3: Divide by 5

To solve for \(x\), divide both sides by 5. We get \(\frac{12}{5}=x\) or \(x = \frac{12}{5}=2.4\).

Answer:

\(x = \frac{12}{5}\) (or \(x = 2.4\))