The number is 1
Step-by-step explanation:
Let x be the required number
Then according to given statement
Five times the difference of twice a number and seven is negative twenty-five.
[tex]5(2x-7) = -25[/tex]
Simplifying
[tex]10x-35 = -25\\[/tex]
Adding 35 on both sides
[tex]10x-35+35 = -25+35\\10x = 10[/tex]
Dividing both sides by 10
[tex]\frac{10x}{10} = \frac{10}{10}\\x = 1[/tex]
Verification:
[tex]5[2(1)-7] = -25\\5(2-7) = -25\\5(-5) = -25\\-25=-25[/tex]
Hence,
1 is the number
Keywords: Linear equation
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