Which equation has the SAME FIRST STEP to solve as this equation: 2x+12−3x=27?
(1 point)
Responses
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
2 x plus 12 is equal to negative 3 x minus 27
4x−17+2x=9
4 x minus 17 plus 2 x is equal to 9
2x+12=27
2x+12=27
are you sure
Apologies for the confusion. The correct equation that has the SAME FIRST STEP to solve as 2x+12−3x=27 is 2x+12=27.
The equation that has the SAME FIRST STEP to solve as the equation 2x + 12 - 3x = 27 is 2x + 12 = 27.
To find the equation that has the same first step to solve as the equation 2x+12-3x=27, we need to identify the first step required to solve the original equation.
The first step in solving the equation 2x+12-3x=27 involves combining like terms. We can start by combining the x terms on one side and the constant terms on the other side:
2x - 3x + 12 = 27
Next, we combine the x terms by subtracting 3x from 2x:
2x - 3x + 12 = 27
-1x + 12 = 27
The combined equation becomes -x + 12 = 27.
Now, let's compare the first step we just performed to the given options:
1) 2(x - 5) + 2x = 10
2) 2x + 12 = -3x - 27
3) 4x - 17 + 2x = 9
4) 2x + 12 = 27
Looking at the options, it is clear that option 2) 2x + 12 = -3x - 27 has the same first step as the original equation. Both equations involve combining like terms by determining the coefficients and signs of the x terms and constant terms.
Therefore, the equation that has the SAME FIRST STEP to solve as 2x+12-3x=27 is 2x + 12 = -3x - 27.