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Zorluk: OrtaLinear Equations in One Variable

If 2(3x−4)−5(x−1)=3(x+2)−12(3x - 4) - 5(x - 1) = 3(x + 2) - 1, what is the value of 2x+32x + 3?

  1. A
    -15
  2. -5Cevap
  3. C
    5
  4. D
    11

Cevap

The correct answer is −5-5.
Solving the given equation step-by-step yields x=−4x = -4. Substituting x=−4x = -4 into the expression 2x+32x + 3 results in 2(−4)+3=−52(-4) + 3 = -5.

Adım Adım Çözüm

1
Distribute the values outside the parentheses on both sides of the equation.
6x−8−5x+5=3x+6−16x - 8 - 5x + 5 = 3x + 6 - 1
This step removes parentheses so that like terms can be combined.
2
Combine like terms on each side of the equation.
x−3=3x+5x - 3 = 3x + 5
Simplifying both sides makes it easier to isolate the variable.
3
Isolate the variable xx by subtracting xx and 55 from both sides.
x=−4x = -4
This determines the value of xx which is required to evaluate the final expression.
4
Substitute the value of xx into the expression 2x+32x + 3.
2(−4)+3=−52(-4) + 3 = -5
This calculates the final value requested by the question.

Anahtar Kavram

Solving linear equations in one variable involving parentheses and distributing terms.
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Konular

Linear Equations in One Variable

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