solve

Question

2│2x-7│+11=25

Answer 1

You want to get the absolute value portion of the equation alone first. They you can find what x would equal if it were (2x-7) = blah and if -(2x-7) = blah.

Answer 2

2„ 2x-7„ +11=25
-11 -11
2„ 2x-7„  =14
4x +14 = 14
-14 -14
4x = 0 Divide both by 4
x = 0
Check
2„ 2(0)-7„ +11=25
2„ 0 -7„ +11=25
2„ -7„ +11=25
14 + 11 =25
25 =25

Answer 3

in addition to x=0, x=7

2[2x-7]+11=25
2[2x-7]=14
[2x-7]=7
2x=14
x=7
Check
2[2(7)-7]+11=25
2[7]+11=25
14+11=25
25=25 :D

Answer 4

2│2x-7│+11=25
|2x-7| = 7

then 2x-7 = 7 or -2x + 7 = 7
2x = 14 or 2x = 0
x = 7 or x = 0