Solving (25-x) / 2.6 = (0-x) / .2718

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SUMMARY

The equation (25-x) / 2.6 = (0-x) / 0.2718 can be solved for x by first eliminating the fractions. By multiplying both sides by 2.6 and then by 0.2718, the equation simplifies to (25-x)(0.2718) = (-x)(2.6). Expanding and rearranging terms leads to the solution x = -2.61. This method effectively combines distribution and isolation of the variable to arrive at the final answer.

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(25-x) / 2.6 = (0-x) / .2718


How does one solve for x?
 
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Multiply by 0.2718 and again by 2.6:
(25-x)(0.2718)=(-x)(2.6)

If you expand (25-x)(0.2718)...
 


To solve for x in this equation, you can start by multiplying both sides by 2.6 to get rid of the fraction on the left side. This will give you (25-x) = (0-x) * 2.6/0.2718. Then, you can distribute the 2.6 to the right side, giving you (25-x) = (0-x) * 9.556. Next, you can distribute the negative sign on the right side, giving you (25-x) = -9.556x. From here, you can combine like terms by adding 9.556x to both sides, giving you (25+9.556x) = x. Finally, you can subtract 25 from both sides to isolate the variable x, giving you 9.556x = -25. Therefore, x = -25/9.556 = -2.61. So, the solution to this equation is x = -2.61.
 

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