To solve for
x in the equation
6
−
3
=
2
+
6
5
6x−3=2x+
5
6
, we need to isolate
x on one side of the equation. Here's how we can do it:
First, let's simplify the equation:
6
−
3
=
2
+
6
5
6x−3=2x+
5
6
Subtract
2
2x from both sides:
6
−
2
−
3
=
6
5
6x−2x−3=
5
6
Combine like terms:
4
−
3
=
6
5
4x−3=
5
6
Next, let's add
3
3 to both sides to isolate
4
4x:
4
=
6
5
+
3
4x=
5
6
+3
To add
6
5
5
6
and
3
3, we need to make their denominators the same:
4
=
6
5
+
15
5
4x=
5
6
+
5
15
4
=
21
5
4x=
5
21
Now, to solve for
x, divide both sides by
4
4:
=
21
5
×
4
x=
5×4
21
=
21
20
x=
20
21
So,
x equals
21
20
20
21
or
1.05
1.05.
