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Solve the equation 3 (2x−1) − (2−x) = 7.

Mathematics

ScanSolve AI Answer

Answer

x=127x = \frac{12}{7}

Step-by-step solution

4 steps
  1. Distribute the numbers into the parentheses.

    3(2x−1)−(2−x)=73(2x - 1) - (2 - x) = 7 6x−3−2+x=76x - 3 - 2 + x = 7
  2. Combine like terms on the left side of the equation.

    (6x+x)+(−3−2)=7(6x + x) + (-3 - 2) = 7 7x−5=77x - 5 = 7
  3. Add 5 to both sides of the equation to isolate the term with xx.

    7x−5+5=7+57x - 5 + 5 = 7 + 5 7x=127x = 12
  4. Divide both sides by 7 to solve for xx.

    7x7=127\frac{7x}{7} = \frac{12}{7} x=127x = \frac{12}{7}
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