## anonymous one year ago MEDAL!!!!!!!!! 4. Is the following always, sometimes, or never true? 14+3x-7=7x+7-4x A. always B. sometimes C. never

1. anonymous

@zepdrix

2. zepdrix

Attempt to solve for x. If you end up with x=#, then it is sometimes true. This is telling us that the equation is true for ONE SPECIFIC X VALUE. If you end up with 5=6, or something like that, then we have a false statement, 5 is never equal to 6, never true. If you end up with 3=3, where both sides match, then your equation holds true for every x value, always true.

3. zepdrix

Before adding or subtracting from both sides or anything like that, let's try to combine like terms first. $\Large\rm \color{royalblue}{14}+3x\color{royalblue}{-7}=\color{orangered}{7x}+7\color{orangered}{-4x}$

4. anonymous

-7=3x=3x+7

5. zepdrix

you meant to write this? -7+3x=3x+7 Hmm no we shouldn't get a -7 on the left side. 14-7 = ?

6. anonymous

the result is A always

7. anonymous

7

8. zepdrix

You got the same thing on both sides? 7+3x = 3x+7 mmm ok good, that's correct! :)