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kolezko [41]
3 years ago
12

-(x-7)+five over three =2(x+9)

Mathematics
1 answer:
jeka57 [31]3 years ago
4 0

Answer:

x=-3\frac{1}{9}

Step-by-step explanation:

Given expression:

-(x-7)+\frac{5}{3}=2(x+9)

To solve for x

Solution:

Using distribution:

-x-(-7)+\frac{5}{3}=2x+2(9)

-x+7+\frac{5}{3}=2x+18

Adding x to both sides.

-x+7+\frac{5}{3}+x=2x+18+x

7+\frac{5}{3}=3x+18

Subtracting 18 from both sides.

7+\frac{5}{3}-18=3x+18-18

\frac{5}{3}-11=3x

Multiplying each term with 3 to remove fractions.

3\times\frac{5}{3}-3(11)=3\times 3x

5-33=9x

-28=9x

Dividing both sides by 9.

\frac{-28}{9}=\frac{9x}{9}

∴ x=-3\frac{1}{9} (Answer)

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