Question

Can someone please show me step by step how to solve the equation and check for extraneous solutions?

2|7-7x|=2x+4

Answer 1

2(7−7x)=2x+4
I will try to solve your equation.
−14x+14=2x+4(Simplify both sides of the equation)
−14x+14+−2x=2x+4+−2x(Add -2x to both sides)
−16x+14=4
−16x+14+−14=4+−14(Add -14 to both sides)
−16x=−10
(−16x)
(−16)
=
(−10)
(−16)
(Divide both sides by -16)
x=0.625

Answer 2

Thank you... I understand it now ^-^

Answer 3

No problem! :D

Answer 4

You also should solve for
-2(7-7x)=2x+4
since the absolute values is involved.

Answer 5

You can check that \( x =\frac 3 2\) is a solution for your problem in addition to the root that @Nikkeyiboo found which was \( x =\frac 5 8\)

Answer 6

So the answer as a whole would be

Answer 7

x = 3/2 or x = 5/8 ?

Answer 8

It may be. Convert the decimal into a percent, or if easier a fraction and you can get your answer.