Answer:
x = -1
Explanation:
Pre-Solving
We are given the following equation:
-2(x-1) = 1-3x
We want to find out if x = -1 and x = 2 are solutions to the above equation.
To do that, we can substitute the values into the equation. If it results in a true statement on both sides, then it is a solution.
Solving
x = -1
Let's start with if x = -1.
Substitute -1 as x into the equation:
-2(-1-1) = 1-3(-1)
First, evaluate what is in the parentheses:
-2(-2) = 1 + 3
Simplify:
4 = 4
This is a true statement, so x = -1 is a solution.
Let's check if x=2 is also a solution though.
x = 2
Substitute 2 as x into the equation.
-2(2-1) = 1 -3(2)
Evaluate what is in the parentheses:
-2(1) = 1 - 6
-2 = -5
This is not a true statement, so x = 2 is not a solution to the equation.
So, only x = -1 is a solution to the equation.