martenortina2r
martenortina2r martenortina2r
  • 04-06-2016
  • Mathematics
contestada

Solve the equation. SHOW YOUR WORK. 3x - 7 = 5x + 19 and then check your answer

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ldbgclb
ldbgclb ldbgclb
  • 04-06-2016
[tex]3x-7=5x+19[/tex]

First move all the numbers without "x" to one side and move all the numbers with "x" to the other side by adding/subtracting
[tex]3x-7+7=5x+19+7[/tex]
[tex]3x=5x+19+7[/tex]
[tex]3x-5x=5x-5x+19+7[/tex]
[tex]3x-5x=19+7[/tex]

Simplify
[tex]-2x=26[/tex]

Divide
[tex] \frac{-2x}{-2} = \frac{26}{-2} [/tex]
[tex]x=-13[/tex]

To check your work, plug in the value of x you got back into the original equation
[tex]3(-13)-7=5(-13)+19[/tex]
[tex]-39-7=-63+19[/tex]
[tex]-46=-46[/tex]
Both sides are equal so the answer is right!
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