solve 2/3 (4x-1) - (2x- 1+x/3 ) = 1/3x + 4/3
Answers
Answered by
2
Answer:
Let's solve your equation step-by-step.
2/3(4x−1)−(2x−1+
x
3
)=
1
3
x+
4
3
Step 1: Simplify both sides of the equation.
2
3
(4x−1)−(2x−1+
x
3
)=
1
3
x+
4
3
2
3
(4x−1)+−1(2x−1+
x
3
)=
1
3
x+
4
3
(Distribute the Negative Sign)
2
3
(4x−1)+−1(2x)+(−1)(−1)+−1(
x
3
)=
1
3
x+
4
3
2
3
(4x−1)+−2x+1+
−1
3
x=
1
3
x+
4
3
(
2
3
)(4x)+(
2
3
)(−1)+−2x+1+
−1
3
x=
1
3
x+
4
3
(Distribute)
8
3
x+
−2
3
+−2x+1+
−1
3
x=
1
3
x+
4
3
(
8
3
x+−2x+
−1
3
x)+(
−2
3
+1)=
1
3
x+
4
3
(Combine Like Terms)
1
3
x+
1
3
=
1
3
x+
4
3
1
3
x+
1
3
=
1
3
x+
4
3
Step 2: Subtract 1/3x from both sides.
1
3
x+
1
3
−
1
3
x=
1
3
x+
4
3
−
1
3
x
1
3
=
4
3
Step 3: Subtract 1/3 from both sides.
1
3
−
1
3
=
4
3
−
1
3
0=1
Answered by
5
Answer:
Step-by-step explanation:
2/3 (4x-1) - (2x- 1+x/3 ) = 1/3x + 4/3
(8x-2)/3 - (6x-3+x)/3 = 1/3x + 4/3
8x-7x+3-2/3= 1/3x+4/3
x+1/3 -x=4/3
-2x+1/3=4/3
1-2x= 4
-2x=3
x = -3/2
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