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Solve the following equation for x. Express your answer in the simplest form. 3(-2x-5)=-6x-15

Solve the following equation for x x . Express your answer in the simplest form.\newline3(−2x−5)=−6x−15 3(-2 x-5)=-6 x-15 \newline

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Full solution

Q. Solve the following equation for x x . Express your answer in the simplest form.\newline3(−2x−5)=−6x−15 3(-2 x-5)=-6 x-15 \newline
  1. Distribute 33 to terms: First, we need to distribute the 33 to both terms inside the parentheses.3×(−2x)+3×(−5)=−6x−153 \times (-2x) + 3 \times (-5) = -6x - 15This simplifies to:−6x−15=−6x−15-6x - 15 = -6x - 15
  2. Identical sides indicate infinite solutions: Next, we observe that both sides of the equation are identical, which means that any value of xx will satisfy the equation.\newlineThis is an identity, indicating that the equation has infinitely many solutions.

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