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Solve the equation: 2(x−5) − 3(x+3) = 4

Mathematics

ScanSolve AI Answer

Answer

-23

Step-by-step solution

4 steps
  1. Distribute the numbers outside the parentheses.

    2(x)+2(−5)−3(x)−3(3)=42(x) + 2(-5) - 3(x) - 3(3) = 4 2x−10−3x−9=42x - 10 - 3x - 9 = 4
  2. Combine like terms.

    (2x−3x)+(−10−9)=4(2x - 3x) + (-10 - 9) = 4 −x−19=4-x - 19 = 4
  3. Add 19 to both sides to isolate the term with xx.

    −x=4+19-x = 4 + 19 −x=23-x = 23
  4. Multiply both sides by −1-1 to solve for xx.

    x=−23x = \boxed{-23}
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