Final answer:
To solve for x in the given equation 2.5(6x-4)=10 4(1.5-0.5x), we can follow these steps: distribute the terms, combine like terms, isolate the variable x, and solve for x.
Step-by-step explanation:
The equation given is 2.5(6x-4)=10 4(1.5-0.5x). To solve for x, we can start by distributing the terms: 15x - 10 = 4.5 - 2x. We can then combine like terms to simplify the equation: 17x - 10 = 4.5. Next, we can isolate the variable x by adding 10 to both sides of the equation: 17x = 14.5. Finally, we can solve for x by dividing both sides of the equation by 17: x = 14.5/17. Therefore, the value of x in the equation is approximately 0.85.