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belka [17]
3 years ago
11

-(x -7) + 5/3 = 2(x + 9)

Mathematics
1 answer:
Ghella [55]3 years ago
8 0

One solution was found :

x = -28/9 = -3.111

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

-(x-7)+5/3-(2*(x+9))=0

Step by step solution :

Step 1 :

Equation at the end of step 1 :

5

((7 - x) + —) - 2 • (x + 9) = 0

3

Step 2 :

5

Simplify —

3

Equation at the end of step 2 :

5

((7 - x) + —) - 2 • (x + 9) = 0

3

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Adding a fraction to a whole

Rewrite the whole as a fraction using 3 as the denominator :

7 - x (7 - x) • 3

7 - x = ————— = ———————————

1 3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(7-x) • 3 + 5 26 - 3x

————————————— = ———————

3 3

Equation at the end of step 3 :

(26 - 3x)

————————— - 2 • (x + 9) = 0

3

Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

2 • (x + 9) 2 • (x + 9) • 3

2 • (x + 9) = ——————————— = ———————————————

1 3

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

(26-3x) - (2 • (x+9) • 3) -9x - 28

————————————————————————— = ————————

3 3

Step 5 :

Pulling out like terms :

5.1 Pull out like factors :

-9x - 28 = -1 • (9x + 28)

Equation at the end of step 5 :

-9x - 28

———————— = 0

3

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