3x-1/3=2(x-1/2)+5
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Answers
Answer:
Multiply the numbers
3
−
1
⋅
1
3
=
2
(
−
1
⋅
1
2
)
+
5
3x{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{1}{3}}}=2(x-1 \cdot \frac{1}{2})+5
3x−1⋅31=2(x−1⋅21)+5
3
−
1
3
=
2
(
−
1
⋅
1
2
)
+
5
3x{\color{#c92786}{-\frac{1}{3}}}=2(x-1 \cdot \frac{1}{2})+5
3x−31=2(x−1⋅21)+5
2
Multiply the numbers
again
3
−
1
3
=
2
(
−
1
⋅
1
2
)
+
5
3x-\frac{1}{3}=2(x{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{1}{2}}})+5
3x−31=2(x−1⋅21)+5
3
−
1
3
=
2
(
−
1
2
)
+
5
3x-\frac{1}{3}=2(x{\color{#c92786}{-\frac{1}{2}}})+5
3x−31=2(x−21)+5
3
Distribute
3
−
1
3
=
2
(
−
1
2
)
+
5
3x-\frac{1}{3}={\color{#c92786}{2(x-\frac{1}{2})}}+5
3x−31=2(x−21)+5
3
−
1
3
=
2
−
1
+
5
3x-\frac{1}{3}={\color{#c92786}{2x-1}}+5
3x−31=2x−1+5
4
Add the numbers
3
−
1
3
=
2
−
1
+
5
3x-\frac{1}{3}=2x{\color{#c92786}{-1}}+{\color{#c92786}{5}}
3x−31=2x−1+5
3
−
1
3
=
2
+
4
3x-\frac{1}{3}=2x+{\color{#c92786}{4}}
3x−31=2x+4
5
Add
1
3
\frac{1}{3}
31
to both sides of the equation
3
−
1
3
=
2
+
4
3x-\frac{1}{3}=2x+4
3x−31=2x+4
3
−
1
3
+
1
3
=
2
+
4
+
1
3
3x-\frac{1}{3}+{\color{#c92786}{\frac{1}{3}}}=2x+4+{\color{#c92786}{\frac{1}{3}}}
3x−31+31=2x+4+31
6
Simplify
Add the numbers
Add the numbers
again
3
=
2
+
1
3
3
3x=2x+\frac{13}{3}
3x=2x+313
7
Subtract
2
2x
2x
from both sides of the equation
3
=
2
+
1
3
3
3x=2x+\frac{13}{3}
3x=2x+313
3
−
2
=
2
+
1
3
3
−
2
3x{\color{#c92786}{-2x}}=2x+\frac{13}{3}{\color{#c92786}{-2x}}
3x−2x=2x+313−2x
8
Simplify
Combine like terms
Multiply by 1
Combine like terms
=
1
3
3
x=\frac{13}{3}
x=313
Solution
=
1
3/3
Step-by-step explanation:
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Answer:
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