Solve for x in the equation.
[tex] \frac{x}{2} - 4x = 7[/tex]
Solution:
[tex] \frac{x}{2} - 4x = 7[/tex]
[tex] \frac{x - 2(4x)}{2} = 7[/tex]
[tex] \frac{x - 8x}{2} = 7[/tex]
[tex] \frac{ - 7x}{2} = 7[/tex]
[tex] - 7x = 7(2)[/tex]
[tex] - 7x = 14[/tex]
[tex] \frac{ - 7x}{ - 7} = \frac{14}{ - 7} [/tex]
[tex]x = - 2[/tex]
Check:
[tex] \frac{x}{2} - 4x = 7[/tex]
[tex] \frac{ - 2}{2} - 4( - 2) = 7[/tex]
[tex] - 1 - ( - 8) = 7[/tex]
[tex]7 = 7[/tex]
Final Answer: x = -2
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