MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - Middle School Tournaments
Math Invitational for Girls
2019 MIG
3
3
Part of
2019 MIG
Problems
(2)
2019 Individual #3
Source:
5/1/2022
Given that
2
x
+
5
−
3
x
+
7
=
8
2x + 5 - 3x + 7 = 8
2
x
+
5
−
3
x
+
7
=
8
, what is the value of
x
x
x
?
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
a
n
>
−
4
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
a
n
>
−
2
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
a
n
>
0
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
a
n
>
2
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
a
n
>
4
<span class='latex-bold'>(A) </span>{-}4\qquad<span class='latex-bold'>(B) </span>{-}2\qquad<span class='latex-bold'>(C) </span>0\qquad<span class='latex-bold'>(D) </span>2\qquad<span class='latex-bold'>(E) </span>4
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
an
>
−
4
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
an
>
−
2
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
an
>
0
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
an
>
2
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
an
>
4
2019 Individual
2019 Team #3
Source:
5/1/2022
Calculate
1
+
2
+
3
+
4
−
5
−
6
−
7
−
8
+
9
+
⋯
−
96
+
97
+
98
+
99
+
100
1+2+3+4-5-6-7-8+9+\cdots-96+97+98+99+100
1
+
2
+
3
+
4
−
5
−
6
−
7
−
8
+
9
+
⋯
−
96
+
97
+
98
+
99
+
100
2019 Team