how to solve and check 5(3-5x)=8-(6-25x)

Question

how to solve 5(3-5x)=8-(6-25x).

Answer 1

5(3 - 5x ) = 8 - (6 - 25x )

15 - 25x  = 8 - 6 + 25x

15 - 25x  = 2 + 25x

Add 25x  to each side.

15 = 2 + 50x

Subtract 2 from each side.

13 = 50x

Divide each side by 50.

Solution x  = 13/50.

Check :

5(3 - 5x) = 8 - (6 - 25x)

5(3 - 5(13/50)) = 8 - (6 - 25(13/50))

5(3 - 13/10) = 8 - (6 - 13/2)

5(17/10) = 8 - (-1/2)

17/2 = 8 + 1/2

17/2 = 17/2.