3x-2/5x-1=3x+1/5x+2
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Answers
Answer:
x=-5
Step-by-step explanation:
Multiply the numbers
3
−
1
⋅
2
5
−
1
=
3
+
1
5
⋅
+
2
3x{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{2}{5}}}x-1=3x+\frac{1}{5} \cdot x+2
3x−1⋅52x−1=3x+51⋅x+2
3
−
2
5
−
1
=
3
+
1
5
⋅
+
2
3x{\color{#c92786}{-\frac{2}{5}}}x-1=3x+\frac{1}{5} \cdot x+2
3x−52x−1=3x+51⋅x+2
2
Combine multiplied terms into a single fraction
3
−
2
5
−
1
=
3
+
1
5
⋅
+
2
3x-\frac{2}{5}x-1=3x+\frac{1}{5} \cdot x+2
3x−52x−1=3x+51⋅x+2
3
+
−
2
5
−
1
=
3
+
1
5
⋅
+
2
3x+\frac{-2x}{5}-1=3x+\frac{1}{5} \cdot x+2
3x+5−2x−1=3x+51⋅x+2
3
Combine multiplied terms into a single fraction
again
3
+
−
2
5
−
1
=
3
+
1
5
+
2
3x+\frac{-2x}{5}-1=3x+\frac{1}{5}x+2
3x+5−2x−1=3x+51x+2
3
+
−
2
5
−
1
=
3
+
1
5
+
2
3x+\frac{-2x}{5}-1=3x+\frac{1x}{5}+2
3x+5−2x−1=3x+51x+2
4
Multiply by 1
3
+
−
2
5
−
1
=
3
+
1
5
+
2
3x+\frac{-2x}{5}-1=3x+\frac{1x}{5}+2
3x+5−2x−1=3x+51x+2
3
+
−
2
5
−
1
=
3
+
5
+
2
3x+\frac{-2x}{5}-1=3x+\frac{x}{5}+2
3x+5−2x−1=3x+5x+2
5
Add
1
1
1
to both sides of the equation
3
+
−
2
5
−
1
=
3
+
5
+
2
3x+\frac{-2x}{5}-1=3x+\frac{x}{5}+2
3x+5−2x−1=3x+5x+2
3
+
−
2
5
−
1
+
1
=
3
+
5
+
2
+
1
3x+\frac{-2x}{5}-1+{\color{#c92786}{1}}=3x+\frac{x}{5}+2+{\color{#c92786}{1}}
3x+5−2x−1+1=3x+5x+2+1
6
Simplify
Add the numbers
Add the numbers
again
3
+
−
2
5
=
3
+
5
+
3
3x+\frac{-2x}{5}=3x+\frac{x}{5}+3
3x+5−2x=3x+5x+3
7
Subtract
3
3x
3x
from both sides of the equation
3
+
−
2
5
=
3
+
5
+
3
3x+\frac{-2x}{5}=3x+\frac{x}{5}+3
3x+5−2x=3x+5x+3
3
+
−
2
5
−
3
=
3
+
5
+
3
−
3
3x+\frac{-2x}{5}{\color{#c92786}{-3x}}=3x+\frac{x}{5}+3{\color{#c92786}{-3x}}
3x+5−2x−3x=3x+5x+3−3x
8
Simplify
Combine like terms
Combine like terms
again
−
2
5
=
5
+
3
\frac{-2x}{5}=\frac{x}{5}+3
5−2x=5x+3
9
Multiply all terms by the same value to eliminate fraction denominators
−
2
5
=
5
+
3
\frac{-2x}{5}=\frac{x}{5}+3
5−2x=5x+3
5
⋅
−
2
5
=
5
(
5
+
3
)
5 \cdot \frac{-2x}{5}=5(\frac{x}{5}+3)
5⋅5−2x=5(5x+3)
10
Simplify
Cancel multiplied terms that are in the denominator
Distribute
Cancel multiplied terms that are in the denominator
−
2
=
+
1
5
-2x=x+15
−2x=x+15
11
Subtract
x
x
from both sides of the equation
−
2
=
+
1
5
-2x=x+15
−2x=x+15
−
2
−
=
+
1
5
−
-2x{\color{#c92786}{-x}}=x+15{\color{#c92786}{-x}}
−2x−x=x+15−x
12
Simplify
Combine like terms
Combine like terms
again
−
3
=
1
5
-3x=15
−3x=15
13
Divide both sides of the equation by the same term
−
3
=
1
5
-3x=15
−3x=15
−
3
−
3
=
1
5
−
3
\frac{-3x}{{\color{#c92786}{-3}}}=\frac{15}{{\color{#c92786}{-3}}}
−3−3x=−315
14
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
−
5
x=-5
x=−5
dsfsef
Answer:
(3x-2)(5x+2)=(3x+1)(5x-1)
15x2+6x-10x-4=15x2-3x+5x-1
-4x-4=2x-1
-4x-2x=-1+4
-6x=3
x=3/-6
x=-1/2
hope u understan
thanx