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Andru [333]
3 years ago
15

-X + 8 + 3x = x-6 Help

Mathematics
2 answers:
Alexeev081 [22]3 years ago
8 0
The answer would be, x = -14
rosijanka [135]3 years ago
7 0

Answer:

\boxed{x = -14}

Step-by-step explanation:

Solve  \: for  \: x:  \\  \implies  - x+8 + 3x=x - 6 \\  \\ Grouping  \: like \:  terms,  \:  - x + 8 + 3x = ( - x + 3x) +8  :  \\ \implies ( - x+3x)+8=x - 6  \\  \\ 3x - x=2x: \\ \implies \boxed{2x} +8=x - 6  \\  \\ Subtract \:  x \:  from \:  both \:  sides:   \\ \implies( 2x- \boxed{x})+8=(x- \boxed{x})-6  \\  \\ 2x - x = x:  \\ \implies \boxed{x}+8=(x-x)-6  \\  \\ x - x = 0:  \\   \implies x+8=-6  \\  \\ Subtract \:  8  \: from  \: both  \: sides:  \\ \implies x + (8 -  \boxed{8}) = -   \boxed{8} - 6 \\  \\ 8 - 8 = 0 : \\ \implies   x =  - 8 - 6 \\  \\  - 8 - 6 =  - 14 :  \\ \implies  x =  - 14

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