1/2(4x+13)=6(x+7) need to know the justification steps and solve

Distribute both numbers from the outside of the parenthesis and multiply that by the the number inside the parenthesis. So 1/2(4x+13) means that you have to multiply 1/2 by 4 and 1/2 by 13. 2x+6.5=6(x+7). On the other side, 6(x+7) do the same thing multiply 6 by x and 6 by 7. 2x+6.5=6x+42 Now thats done, move the "like terms" on the same side. So 2x will move to the other side of the equation while 42 will move the other side of the equation. 4x= -35.5 now divide -35.5 by 4 to find x. -8.875 is what x equals.  I hope this helps you! You can also check if the x your found was correct.