Math, asked by Mirin777, 2 months ago

Solve for `x (7x+14)/(3)-(17-3x)/(5)=6x-(4x+2)/(3)-5 `

Answers

Answered by ranjukumari88sindri
1

Answer:

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

7*x+14/3-17-3*x/5-(6*x-4*x+2/3-5)=0

Step by step solution :

STEP

1

:

2

Simplify —

3

Equation at the end of step

1

:

14 x 2

(((7x+——)-17)-(3•—))-((2x+—)-5) = 0

3 5 3

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Adding a fraction to a whole

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

2x 2x • 3

2x = —— = ——————

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 :

2.2 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:

2x • 3 + 2 6x + 2

—————————— = ——————

3 3

Equation at the end of step

2

:

14 x (6x+2)

(((7x+——)-17)-(3•—))-(——————-5) = 0

3 5 3

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

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

5 5 • 3

5 = — = —————

1 3

STEP

4

:

Pulling out like terms :

4.1 Pull out like factors :

6x + 2 = 2 • (3x + 1)

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

2 • (3x+1) - (5 • 3) 6x - 13

———————————————————— = ———————

3 3

Equation at the end of step

4

:

14 x (6x-13)

(((7x+——)-17)-(3•—))-——————— = 0

3 5 3

STEP

5

:

x

Simplify —

5

Equation at the end of step

5

:

14 x (6x-13)

(((7x+——)-17)-(3•—))-——————— = 0

3 5 3

STEP

6

:

14

Simplify ——

3

Equation at the end of step

6

:

14 3x (6x - 13)

(((7x + ——) - 17) - ——) - ————————— = 0

3 5 3

STEP

7

:

Rewriting the whole as an Equivalent Fraction :

7.1 Adding a fraction to a whole

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

7x 7x • 3

7x = —— = ——————

1 3

Adding fractions that have a common denominator :

7.2 Adding up the two equivalent fractions

7x • 3 + 14 21x + 14

——————————— = ————————

3 3

Equation at the end of step

7

:

(21x + 14) 3x (6x - 13)

((—————————— - 17) - ——) - ————————— = 0

3 5 3

STEP

8

:

Rewriting the whole as an Equivalent Fraction :

8.1 Subtracting a whole from a fraction

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

17 17 • 3

17 = —— = ——————

1 3

STEP

9

:

Pulling out like terms :

9.1 Pull out like factors :

21x + 14 = 7 • (3x + 2)

Adding fractions that have a common denominator :

9.2 Adding up the two equivalent fractions

7 • (3x+2) - (17 • 3) 21x - 37

————————————————————— = ————————

3 3

Equation at the end of step

9

:

(21x - 37) 3x (6x - 13)

(—————————— - ——) - ————————— = 0

3 5 3

STEP

10

:

Calculating the Least Common Multiple :

10.1 Find the Least Common Multiple

The left denominator is : 3

The right denominator is : 5

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