julinaughton
Answered

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This is Solving Linear Equations.

This Is Solving Linear Equations class=

Sagot :

mwabamwaba2004

Answer:

x=12

Step-by-step explanation:

you have to group the like terms in order to solve this equation, this will result to;

5/2x-3/4x=14+7

1.75x/1.75=21/1.75

x=12

I hope this helps

ItzStarzMe

Required solution :

The given equation is,

  • (5 / 2)x - 7 = (3 / 4)x + 14

⇒ 5x - 14 / 2 = (3 / 4)x + 14

Transposing 14 from R.H.S. to L.H.S.,

⇒ (5x - 14 / 2) - 14 = (3/4)x

⇒ 5x - 14 - 28 / 2 = 3x / 4

⇒ 5x - 42 / 2 = 3x / 4

⇒ 4 (5x - 42) / 2 = 3x

⇒ 4 × (5x - 42) / 2 = 3x

⇒ 2 (5x - 42) = 3x

⇒ 10x - 84 = 3x

⇒ 10x - 3x = 84

⇒ 7x = 84

⇒ x = 84 / 7

⇒ x = 12

Therefore, option d that is 12 is correct.

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