A method for solving 5(x-2)-2(x-5)=9 is shown below.Identify the property used as you continue from step 2 to step 3
1:5x-10-2x+10=9
2:5x-2x-10+10=9
3:3x=0=9
4:3x=9
5:x=3
well, 5x is "like" -2x
and -10 is "like + 10
so
"combine" them
and by the way
3x - 0 = 9
The property used as you continue from step 2 to step 3 is the combining like terms property.
To identify the property used from step 2 to step 3, let's examine the equation:
5(x-2)-2(x-5)=9
In step 2, we distribute the coefficients to the terms inside the parentheses:
5x - 10 - 2x + 10 = 9
We can see that the term "-10 + 10" can be simplified to 0. So, step 3 combines these terms and simplifies the equation:
5x - 2x - 10 + 10 = 9
The property used from step 2 to step 3 is the additive identity property, which states that the sum of any number and zero is the same number. In this case, the sum of -10 and 10 is 0.