Math, asked by gopalsinghchhetri83, 5 hours ago

solve 2x- (1-22) = 5-3 (1+x)​

Answers

Answered by samarthshindeltr
0

Answer:

2

(

1

2

2

)

=

5

3

(

1

+

)

2x-(1-22)=5-3(1+x)

2x−(1−22)=5−3(1+x)

Solve

1

Subtract the numbers

2

(

1

2

2

)

=

5

3

(

1

+

)

2x-({\color{#c92786}{1-22}})=5-3(1+x)

2x−(1−22)=5−3(1+x)

2

(

2

1

)

=

5

3

(

1

+

)

2x-({\color{#c92786}{-21}})=5-3(1+x)

2x−(−21)=5−3(1+x)

2

Multiply the numbers

2

1

(

2

1

)

=

5

3

(

1

+

)

2x{\color{#c92786}{-1}}\left({\color{#c92786}{-21}}\right)=5-3(1+x)

2x−1(−21)=5−3(1+x)

2

+

2

1

=

5

3

(

1

+

)

2x+{\color{#c92786}{21}}=5-3(1+x)

2x+21=5−3(1+x)

3

Rearrange terms

2

+

2

1

=

5

3

(

1

+

)

2x+21=5-3({\color{#c92786}{1+x}})

2x+21=5−3(1+x)

2

+

2

1

=

5

3

(

+

1

)

2x+21=5-3({\color{#c92786}{x+1}})

2x+21=5−3(x+1)

4

Distribute

2

+

2

1

=

5

3

(

+

1

)

2x+21=5{\color{#c92786}{-3(x+1)}}

2x+21=5−3(x+1)

2

+

2

1

=

5

3

3

2x+21=5{\color{#c92786}{-3x-3}}

2x+21=5−3x−3

5

Subtract the numbers

2

+

2

1

=

5

3

3

2x+21={\color{#c92786}{5}}-3x{\color{#c92786}{-3}}

2x+21=5−3x−3

2

+

2

1

=

2

3

2x+21={\color{#c92786}{2}}-3x

2x+21=2−3x

6

Rearrange terms

2

+

2

1

=

2

3

2x+21={\color{#c92786}{2-3x}}

2x+21=2−3x

2

+

2

1

=

3

+

2

2x+21={\color{#c92786}{-3x+2}}

2x+21=−3x+2

7

Subtract

2

1

21

21

from both sides of the equation

2

+

2

1

=

3

+

2

2x+21=-3x+2

2x+21=−3x+2

2

+

2

1

2

1

=

3

+

2

2

1

2x+21{\color{#c92786}{-21}}=-3x+2{\color{#c92786}{-21}}

2x+21−21=−3x+2−21

8

Simplify

Subtract the numbers

Subtract the numbers

2

=

3

1

9

2x=-3x-19

2x=−3x−19

9

Add

3

3x

3x

to both sides of the equation

2

=

3

1

9

2x=-3x-19

2x=−3x−19

2

+

3

=

3

1

9

+

3

2x+{\color{#c92786}{3x}}=-3x-19+{\color{#c92786}{3x}}

2x+3x=−3x−19+3x

10

Simplify

Combine like terms

Combine like terms

5

=

1

9

5x=-19

5x=−19

11

Divide both sides of the equation by the same term

5

=

1

9

5x=-19

5x=−19

5

5

=

1

9

5

\frac{5x}{{\color{#c92786}{5}}}=\frac{-19}{{\color{#c92786}{5}}}

55x=5−19

12

Simplify

Cancel terms that are in both the numerator and denominator

=

1

9

5

x=\frac{-19}{5}

x=5−19

Solution

=

1

9

5

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