Question

4x-5/3=1/2
solve- it​

Answer 1

Multiply the numbers
4

−
1
⋅
5
3
=
1
2
4

−
5
3
=
1
2

Add
5
3
5
3
35​
to both sides of the equation
4

−
5
3
=
1
2
4

−
5
3
+
5
3
=
1
2
+
5
3
Add the numbers
4

−
5
3
+
5
3
=
1
2
+
5
3
4
x
−
5
3
+
5
3
=
1
2
+
5
3
4x−35​+35​=21​+35​
4

=
1
2
+
5
3
4
x
=
1
2
+
5
3
4x=21​+35​
Add the numbers

Divide both sides of the equation by the same term
4

=
1
3
6
4

4
=
1
3
6
4
Simplify
Cancel terms that are in both the numerator and denominator
4

4
=
1
3
6
4
4
x
4
=
13
6
4
44x​=4613​​

=
1
3
6
4
x
=
13
6
4
x=4613​​
Divide the numbers
Solution

=
1
3
2
4

Answer 2

Answer:

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Step-by-step explanation:

$4x - \frac{5}{3} = \frac{1}{2} \\ \\ 4x = \frac{1}{2} + \frac{5}{3} \\ \\ 4x = \frac{1 \times 3}{2 \times 3} + \frac{5 \times 2}{3 \times 2} \\ \\ 4x = \frac{3}{6} + \frac{10}{6} \\ \\ 4x = \frac{13}{6} \\ \\ x = \frac{13 \times 4}{6} \\ \\ x = \frac{52}{6} \\ \\\therefore x = \frac{26}{3}$