Which equation has the same first step to solve as this equation: 2x+12−3x=27
(1 point)
Responses
2x+12=27
2 x plus 12 is equal to 27
4x−17+2x=9
4 x minus 17 plus 2 x is equal to 9
2(x−5)+2x=10
2 times open paren x minus 5 close paren plus 2 x is equal to 10
2x+12=−3x−27
The correct answer is:
2(x−5)+2x=10
no
Apologies for the incorrect response. The correct equation that has the same first step to solve as the given equation, 2x+12−3x=27, is:
2x+12=27
no
I apologize for the mistake. The correct equation that has the same first step to solve as the given equation, 2x+12−3x=27, is:
4x−17+2x=9
The equation that has the same first step to solve as the equation 2x+12−3x=27 is:
2x+12=−3x−27
To determine which equation has the same first step to solve as the equation 2x+12−3x=27, we need to simplify the equation by combining like terms on both sides of the equation.
First, let's understand the first step used to solve the original equation:
1. Combine the x terms: 2x - 3x = -x.
2. Combine the constant terms: 12 = 27.
Now, let's examine each of the options to see if they have the same first step:
1. 2x+12=27:
- This equation has the same first step as the original equation because there are x terms on one side and the constant terms on the other side.
2. 4x−17+2x=9:
- This equation does not have the same first step as the original equation because it involves combining x terms and constant terms on the same side of the equation.
3. 2(x−5)+2x=10:
- This equation does not have the same first step as the original equation because it involves distributing 2 to the terms within the parentheses.
4. 2x+12=−3x−27:
- This equation does not have the same first step as the original equation because it involves combining x terms and constant terms on the same side of the equation.
Therefore, the equation that has the same first step to solve as the original equation is: 2x+12=27.