Question

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

Answer 1

Answer:

i=5/2

Step-by-step explanation:

5x−2(2x−7)=2(3x−1)+

7

2

Step 1: Simplify both sides of the equation.

5x−2(2x−7)=2(3x−1)+

7

2

5x+(−2)(2x)+(−2)(−7)=(2)(3x)+(2)(−1)+

7

2

(Distribute)

5x+−4x+14=6x+−2+

7

2

(5x+−4x)+(14)=(6x)+(−2+

7

2

)(Combine Like Terms)

x+14=6x+

3

2

x+14=6x+

3

2

Step 2: Subtract 6x from both sides.

x+14−6x=6x+

3

2

−6x

−5x+14=

3

2

Step 3: Subtract 14 from both sides.

−5x+14−14=

3

2

−14

−5x=

−25

2

Step 4: Divide both sides by -5.

−5x

−5

=

−25

2

−5

x=5/2

Answer:

x=5/2