Question

solve 5x-2(2x-7)=2 (3x-1)+7/2

Answer 1

Answer:

5/2

Step-by-step explanation:

after opening the brackets

5x-4x+14 = 6x-2+7/2

taking a to one side constants to other side

6x+4x-5x=14+2-7/2

or 5x = 16-7/2

or 5x = (37-7)/2

or 5x = 25/2

or x = 5/2 (answer)

Answer 2

Given,

• $5x -2(2x-7) = 2(3x-1)+7/2$ is given.

To find,

• We have to solve the given expression.

Solution,

We can simply solve the given numerical expression by the method of solving linear equations in one variable.

     $5x -2(2x-7) = 2(3x-1)+7/2$

Using distributive law, we get

   $5x -4x+14 = 6x-2 +7/2$

Now, shifting the like terms to one side, we get

  $5x-4x-6x = 7/2-2-14$

        $5x-10x = 7/2 -16$

Now, taking LCM on RHS, we get

           $-5x = (7-32)/2$

             $-5x = -25/2$

                 $x = -25/2 * 1/-5$

                 $x = 5/2$

Hence, the solution of  $5x -2(2x-7) = 2(3x-1)+7/2$is 5/2.