4[24-3 (7x+6) ]-6 (4-14x)

0

Step-by-step explanation:

4[24-3 (7x+6) ]-6 (4-14x)

4 (24-21x-18) - 24+84x

96-84x-72-24+84x

96-72-24-84x+84x

0 + 0

0

0 = 0

The equation is an identity, all real numbers are solutions.

Step-by-step explanation:

First we simplify:

4[24 + - 3 (7x + 6) ] + - 6 (4 + - 14x) = 0

Then we need to reorder the terms:

=> 4[24 + - 3 (6 + 7x) ] + - 6 (4 + - 14x) = 0

=> 4[24 + (6 * - 3 + 7x * - 3) ] + - 6 (4 + - 14x) = 0

=> 4[24 + (-18 + - 21x) ] + - 6 (4 + - 14x) = 0

We the have to combine like terms:

24 + - 18 = 6

=> 4[6 + - 21x] + - 6 (4 + - 14x) = 0

=> [6 * 4 + - 21x * 4] + - 6 (4 + - 14x) = 0

=> [24 + - 84x] + - 6 (4 + - 14x) = 0

=> 24 + - 84x + (4 * - 6 + - 14x * - 6) = 0

=> 24 + - 84x + (-24 + 84x) = 0

Reorder the terms again:

24 + - 24 + - 84x + 84x = 0

Combine like terms again:

24 + - 24 = 0

=> 0 + - 84x + 84x = 0

=> - 84x + 84x = 0

Then once again, combine like terms:

-84x + 84x = 0

=> 0 = 0