Examkin

Question

Difficulty: EasyLinear Equations in One Variable

If 5−2(x+3)=−95 - 2(x + 3) = -9, what is the value of xx?

  1. A
    10
  2. B
    5
  3. 4Answer
  4. D
    -5

Answer

4
Distributing the −2-2 to both terms in the parentheses gives the equation 5−2x−6=−95 - 2x - 6 = -9. Combining the constants on the left side yields −2x−1=−9-2x - 1 = -9. Adding 11 to both sides gives −2x=−8-2x = -8. Finally, dividing by −2-2 yields the correct value of 44.

Step-by-Step Solution

1
Distribute the −2-2 to both terms inside the parentheses: −2-2 times xx and −2-2 times 33.
5−2x−6=−95 - 2x - 6 = -9
To remove the parentheses and simplify the equation.
2
Combine the constant terms on the left side of the equation: 5−65 - 6.
−2x−1=−9-2x - 1 = -9
To group like terms together before isolating the variable.
3
Add 11 to both sides of the equation.
−2x=−8-2x = -8
To isolate the variable term on the left side of the equation.
4
Divide both sides of the equation by −2-2.
x=4x = 4
To solve for xx.

Key Concept

Solving a linear equation in one variable by distributing, combining like terms, and isolating the variable.
Rate this question

Topics

Linear Equations in One Variable

More questions from this topic