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

Mathematics

2 answers:

Alexeev081 [22]4 years ago

8 0

The answer would be, x = -14

rosijanka [135]4 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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