Math, asked by hurricaneDJ, 1 day ago

Solve 2(x + 4) - 3(x - 5) = 9x

Answers

Answered by vidhaan2011a
1

Answer:

मराठी मध्ये शोधा

२ क्स ४ ३ क्स ५ ९क्स

How to solve your problem

2

(

+

4

)

3

(

5

)

=

9

2(x+4)-3(x-5)=9x

Solve

1

Distribute

2

(

+

4

)

3

(

5

)

=

9

{\color{#c92786}{2(x+4)}}-3(x-5)=9x

2

+

8

3

(

5

)

=

9

{\color{#c92786}{2x+8}}-3(x-5)=9x

2

Distribute

2

+

8

3

(

5

)

=

9

2x+8{\color{#c92786}{-3(x-5)}}=9x

2

+

8

3

+

1

5

=

9

2x+8{\color{#c92786}{-3x+15}}=9x

3

Add the numbers

2

+

8

3

+

1

5

=

9

2x+{\color{#c92786}{8}}-3x+{\color{#c92786}{15}}=9x

2

+

2

3

3

=

9

2x+{\color{#c92786}{23}}-3x=9x

4

Combine like terms

2

+

2

3

3

=

9

{\color{#c92786}{2x}}+23{\color{#c92786}{-3x}}=9x

+

2

3

=

9

{\color{#c92786}{-x}}+23=9x

5

Subtract

2

3

23

from both sides of the equation

+

2

3

=

9

-x+23=9x

+

2

3

2

3

=

9

2

3

-x+23{\color{#c92786}{-23}}=9x{\color{#c92786}{-23}}

6

Simplify

Subtract the numbers

=

9

2

3

-x=9x-23

7

Subtract

9

9x

from both sides of the equation

=

9

2

3

-x=9x-23

9

=

9

2

3

9

-x{\color{#c92786}{-9x}}=9x-23{\color{#c92786}{-9x}}

8

Simplify

Combine like terms

Combine like terms

1

0

=

2

3

-10x=-23

9

Divide both sides of the equation by the same term

1

0

=

2

3

-10x=-23

1

0

1

0

=

2

3

1

0

\frac{-10x}{{\color{#c92786}{-10}}}=\frac{-23}{{\color{#c92786}{-10}}}

10

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

2

3

1

0

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