Question

Solve the equation for m: 2m + 1 = -3m - 1

Answer 1

Answer:

m = $\frac{-2}{5}$

Step-by-step explanation:

2m + 1 = -3m - 1 (Given)

2m + 1 + 1 = -3m - 1 + 1 (Addition Property of Equality)

2m + 2 = -3m (Simplify)

2m - 2m + 2 = -3m - 2m (Subtraction Property of Equality)

2 = -5m (Simplify)

$\frac{2}{-5} = \frac{-5m}{-5}$ (Division Property of Equality)

$\frac{-2}{5}$ = m (Simplify)

m = $\frac{-2}{5}$ (Symmetric Property of Equality)