Questions: Using two-steps (add or subtract, then divide or multiply), solve the equation: -5/2 x-2=-27

Solution Steps

To solve the equation \(\frac{-5}{2} x - 2 = -27\), we can follow these steps:

1. Isolate the term involving \(x\) by adding 2 to both sides of the equation.
2. Solve for \(x\) by multiplying both sides by the reciprocal of \(\frac{-5}{2}\).

To isolate the term involving \(x\), we add 2 to both sides of the equation: \[ \frac{-5}{2} x - 2 + 2 = -27 + 2 \] This simplifies to: \[ \frac{-5}{2} x = -25 \]

To solve for \(x\), we multiply both sides by the reciprocal of \(\frac{-5}{2}\), which is \(\frac{-2}{5}\): \[ x = -25 \times \frac{-2}{5} \] This simplifies to: \[ x = 10 \]

Final Answer