First, disregard the sign for absolute value and solve for x.
2x - 1 = 3x + 5
2x - 3x = 5 + 1
-x = 6
x = -6
Now, you have to interpret the absolute value. The absolute value of x is always the positive version of whatever the number is. Since x = -6, its absolute value is 6. Therefore, the possible value for x is only one, which is 6.
2x^2+8xy+8y^2
2(x^2+4xy+4y^2)
I think you're missing a bit of the question. If her savings can be modeled by x...?
Answer: x = 2
Step-by-step explanation:

Replace y in the first equation by the value of y in the second equation.

4x-20=2x-14
-2x. -2x
2x-20=14
+20 +20
2x= 34
— —
2 2
X=17
Therefore x=17