Question

solve the following equation:-. 7(-2x-3)=-49 ​

Answer 1

Answer:

Distribute

7(−2−3)=−49

{\color{#c92786}{7(-2x-3)}}=-497(−2x−3)=−49

−14−21=−49

{\color{#c92786}{-14x-21}}=-49−14x−21=−49

2

Add 

21

2121

 to both sides of the equation

−14−21=−49

-14x-21=-49−14x−21=−49

−14−21+21=−49+21

-14x-21+{\color{#c92786}{21}}=-49+{\color{#c92786}{21}}−14x−21+21=−49+21

3

Simplify

Add the numbers

Add the numbers

−14=−28

-14x=-28−14x=−28

4

Divide both sides of the equation by the same term

−14=−28

-14x=-28−14x=−28

−14−14=−28−14

\frac{-14x}{{\color{#c92786}{-14}}}=\frac{-28}{{\color{#c92786}{-14}}}−14−14x=−14−28

5

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=2

Step-by-step explanation:

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