Answered

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-5/6x-(x-1)=1/4(-x+80)

Sagot :

Answer:

x = - 12

Step-by-step explanation:

- [tex]\frac{5}{6}[/tex] x - (x - 1) = [tex]\frac{1}{4}[/tex] (- x + 80) distribute parenthesis on left side by - 1

- [tex]\frac{5}{6}[/tex] x - x + 1 = [tex]\frac{1}{4}[/tex] (- x + 80)

multiply through by 12 ( the LCM of 4 and 6 ) to clear the fractions

- 10x - 12x + 12 = 3(- x + 80) ← distribute parenthesis by 3

- 22x + 12 = - 3x + 240 ( add 3x to both sides )

- 19x + 12 = 240 ( subtract 12 from both sides )

- 19x = 228 ( divide both sides by - 19 )

x = - 12

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