Can You Help? Need To Solve This Equation And Show Steps: -(x-3)-2(x-4)=7?


Answer:
-(x-3) -2(x-4) = 7
-x +3 -2x +8 = 7    (use the distributive property, paying attention to signs)
-3x + 11 = 7    (collect terms)
-3x = -4    (subtract 11 from both sides)
x = -4/-3    (divide both sides by -3)
x = 4/3    (cancel the negative signs. (-1)/(-1) = 1)

Check
-((4/3)-3) -2((4/3)-4) = 7
-(4/3 - 9/3) -2(4/3 - 12/3) = 7
-(-5/3) -2(-8/3) = 7
5/3 + 16/3 = 7
21/3 = 7    (yes)

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