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This is Solving Linear Equations.

This is Solving Linear Equations.-example-1
User Sheikh
by
7.8k points

2 Answers

4 votes

Answer:

x=12

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

User ChrisWue
by
7.9k points
5 votes

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.

User Sngjuk
by
8.7k points

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