Solve for x in the equation below. 2x−7x−9=4x+18
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[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]Solve for x in the equation ⇨ 2x−7x−9=4x+18[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex][tex] \sf \: 2x-7x-9 = 4x+18[/tex]Combine 2x and -7x to get -5x.[tex] \sf \: -5x-9=4x+18 [/tex]Combine -5x and -4x to get -9x.[tex] \sf \: -9x-9=18 [/tex]Add 9 to both sides.[tex] \sf \: -9x=18+9 [/tex]Add 18 and 9 to get 27.[tex] \sf \: -9x=27 [/tex]Divide both sides by -9.[tex] \sf \: x=\frac{27}{-9} \\ [/tex]Divide 27 by -9 to get -3.[tex] \boxed{ \boxed{\bf \: x = - 3}}[/tex]
Answer:x = -3Step-by-step explanation:Combine like terms to isolate x:2x - 7x - 9 = 4x + 182x - 7x - 9 - 4x = - 4x + 18- 9x - 9 = 18 - 9x - 9 + 9 = 18 + 9-9x = 27[tex]\frac{-9x}{-9} = \frac{27}{-9}[/tex]x = -3
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