021. Solve for x: 2x - 3= x + 2 =
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Answered by
2
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Answered by
1
Step-by-step explanation:
There are 2 possible solutions to the equation.
2
x
−
3
=
±
(
x
+
2
)
first solution
2
x
−
3
=
x
+
2
subtract x from both sides.
2
x
−
x
−
3
=
x
−
x
+
2
⇒
x
−
3
=
2
add 3 to both sides.
x
−
3
+
3
=
2
+
3
⇒
x
=
5
second solution
2
x
−
3
=
−
x
−
2
⇒
3
x
=
1
⇒
x
=
1
3
As a check
Substitute these values into the equation and if the left side is equal to the right side then they are the solutions.
left side
=
|
(
2
×
5
)
−
3
|
=
|
7
|
=
7
right side
=
|
5
+
2
|
=
|
7
|
=
7
left side
=
∣
∣
∣
2
3
−
3
∣
∣
∣
=
∣
∣
∣
−
2
1
3
∣
∣
∣
=
2
1
3
right side
=
∣
∣
∣
1
3
+
2
∣
∣
∣
=
∣
∣
∣
2
1
3
∣
∣
∣
=
2
1
3
⇒
x
=
1
3
or
x
=
5
are the solutions
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