Solve the equation 2x-3÷4+3x+2÷6=3x
Answers
Answer:
The answer is: 5/24 or 0.208333333
Step-by-step explanation:
STEPS FOR SOLVING LINEAR EQUATION
Immersive Reader
2x−3÷4+3x+2÷6=3x
Combine 2x and 3x to get 5x.
5x−
4
3
+
6
2
=3x
Reduce the fraction
6
2
≈0.333333333 to lowest terms by extracting and canceling out 2.
5x−
4
3
+
3
1
=3x
Least common multiple of 4 and 3 is 12. Convert −
4
3
=−0.75 and
3
1
≈0.333333333 to fractions with denominator 12.
5x−
12
9
+
12
4
=3x
Since −
12
9
=−0.75 and
12
4
≈0.333333333 have the same denominator, add them by adding their numerators.
5x+
12
−9+4
=3x
Add −9 and 4 to get −5.
5x−
12
5
=3x
Subtract 3x from both sides.
5x−
12
5
−3x=0
Combine 5x and −3x to get 2x.
2x−
12
5
=0
Add
12
5
≈0.416666667 to both sides. Anything plus zero gives itself.
2x=
12
5
Divide both sides by 2.
x=
2
12
5
Express
2
12
5
≈0.208333333 as a single fraction.
x=
12×2
5
Multiply 12 and 2 to get 24.
x=
24
5