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Linear Equations in One Variable

SAT Math· difficulty 3/5

If 3x−12−x+23=4\frac{3x - 1}{2} - \frac{x + 2}{3} = 4, what is the value of xx?

  • A

    297\frac{29}{7}

  • B

    3

  • C

    317\frac{31}{7}

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  • D

    5

Explanation

Multiply by 6: 3(3x−1)−2(x+2)=243(3x-1) - 2(x+2) = 24. So 9x−3−2x−4=249x - 3 - 2x - 4 = 24, giving 7x=317x = 31 and x=317x = \frac{31}{7}.

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