2- 3(3x+1)=2(7-6x) please tell me the answer
Answers
Answer:
How to solve your problem
2
−
3
(
3
+
1
)
=
2
(
7
−
6
)
2-3(3x+1)=2(7-6x)
2−3(3x+1)=2(7−6x)
Solve
1
Distribute
2
−
3
(
3
+
1
)
=
2
(
7
−
6
)
2{\color{#c92786}{-3(3x+1)}}=2(7-6x)
2−3(3x+1)=2(7−6x)
2
−
9
−
3
=
2
(
7
−
6
)
2{\color{#c92786}{-9x-3}}=2(7-6x)
2−9x−3=2(7−6x)
2
Subtract the numbers
2
−
9
−
3
=
2
(
7
−
6
)
{\color{#c92786}{2}}-9x{\color{#c92786}{-3}}=2(7-6x)
2−9x−3=2(7−6x)
−
1
−
9
=
2
(
7
−
6
)
{\color{#c92786}{-1}}-9x=2(7-6x)
−1−9x=2(7−6x)
3
Rearrange terms
−
1
−
9
=
2
(
7
−
6
)
{\color{#c92786}{-1-9x}}=2(7-6x)
−1−9x=2(7−6x)
−
9
−
1
=
2
(
7
−
6
)
{\color{#c92786}{-9x-1}}=2(7-6x)
−9x−1=2(7−6x)
4
Rearrange terms
−
9
−
1
=
2
(
7
−
6
)
-9x-1=2({\color{#c92786}{7-6x}})
−9x−1=2(7−6x)
−
9
−
1
=
2
(
−
6
+
7
)
-9x-1=2({\color{#c92786}{-6x+7}})
−9x−1=2(−6x+7)
5
Distribute
−
9
−
1
=
2
(
−
6
+
7
)
-9x-1={\color{#c92786}{2(-6x+7)}}
−9x−1=2(−6x+7)
−
9
−
1
=
−
1
2
+
1
4
-9x-1={\color{#c92786}{-12x+14}}
−9x−1=−12x+14
6
Add
1
1
1
to both sides of the equation
−
9
−
1
=
−
1
2
+
1
4
-9x-1=-12x+14
−9x−1=−12x+14
−
9
−
1
+
1
=
−
1
2
+
1
4
+
1
-9x-1+{\color{#c92786}{1}}=-12x+14+{\color{#c92786}{1}}
−9x−1+1=−12x+14+1
7
Simplify
Add the numbers
Add the numbers
−
9
=
−
1
2
+
1
5
-9x=-12x+15
−9x=−12x+15
8
Add
1
2
12x
12x
to both sides of the equation
−
9
=
−
1
2
+
1
5
-9x=-12x+15
−9x=−12x+15
−
9
+
1
2
=
−
1
2
+
1
5
+
1
2
-9x+{\color{#c92786}{12x}}=-12x+15+{\color{#c92786}{12x}}
−9x+12x=−12x+15+12x
9
Simplify
10
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}}}
33x=315
11
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
5
Solution
=
5
Step-by-step explanation:
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