Question

Solve: x/2- 5 = x/3- 712

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Answer 1

Answer:

Step by Step Solution

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Rearrange:

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

x/2-5-(x/3-712)=0

Step by step solution :

STEP

1

:

x

Simplify —

3

Equation at the end of step

1

:

x x

(— - 5) - (— - 712) = 0

2 3

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

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

712 712 • 3

712 = ——— = ———————

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:

x - (712 • 3) x - 2136

————————————— = ————————

3 3

Equation at the end of step

2

:

x (x - 2136)

(— - 5) - —————————— = 0

2 3

STEP

3

:

x

Simplify —

2

Equation at the end of step

3

:

x (x - 2136)

(— - 5) - —————————— = 0

2 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 2 as the denominator :

5 5 • 2

5 = — = —————

1 2

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

x - (5 • 2) x - 10

——————————— = ——————

2 2

Equation at the end of step

4

:

(x - 10) (x - 2136)

———————— - —————————— = 0

2 3

Answer 2

Answer:

answer is -4236

Step-by-step explanation:

x/2-5 = x/3-712

x/2-x/3 = -712+5

(3x-2x)/6 = -706

x/6 = -706

x = -706×6

x = -4236

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