To solve the equation 1000(6x-10)=40(295+100x), we can start by distributing the 1000 and 40:

- 6000x - 10000 = 11800 + 4000x
Next, we can combine like terms by subtracting 4000x from both sides:
Then, we can add 10000 to both sides:
Now, we can divide both sides by 2000 to solve for x: