To determine if x = -2 is a solution to the equation 2x - 3 = 4x + 1, we can substitute x = -2 into the equation and check if the equation holds true.
1. Start with the given equation: 2x - 3 = 4x + 1.
2. Substitute x = -2 into the equation: 2(-2) - 3 = 4(-2) + 1.
3. Simplify the equation: -4 - 3 = -8 + 1.
4. Calculate the left side: -7 = -7.
5. Calculate the right side: -7 = -7.
Since both sides of the equation are equal (-7 = -7), we can conclude that x = -2 is indeed a solution to the equation 2x - 3 = 4x + 1. This means that when x is equal to -2, the equation holds true.
