Question

Solve the following:
6(2x+3)-3(x-2)=6

Answer 1

Step-by-step explanation:

please see above attachment

Answer 2

Given :-

6(2x+3)-3(x-2)=6

To find :-

The solution for the equation.

Solution :-

Given equation is 6(2x+3)-3(x-2)=6

=> (6×2x)+(6×3)-(3×x)-(3×-2) = 6

=> 12x+18-3x+6 = 6

=> (12x-3x)+(18+6) = 6

=> 9x+24 = 6

=> 9x = 6-24

=> 9x = -18

=> x = -18/9

=> x = -2

Therefore, The value of x = -2

Answer :-

The solution for the given equation is -2

Check :-

If x = -2 then LHS of the equation 6(2x+3)-3(x-2) becomes

= 6[(2×-2)+3]-3(-2-2)

= 6(-4+3)-3(-4)

= 6(-1)+12

= -6+12

= 12-6

= 6

= RHS

Therefore, LHS = RHS is true for x = -2

Verified the given relations in the given problem.