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What value of x satisfies the equation -1.5 x-2.7=20.1+4.5 x ?

What value of x x satisfies the equation −1.5x−2.7=20.1+4.5x -1.5 x-2.7=20.1+4.5 x ?

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Full solution

Q. What value of x x satisfies the equation −1.5x−2.7=20.1+4.5x -1.5 x-2.7=20.1+4.5 x ?
  1. Move x terms: First, let's move all the x terms to one side of the equation by adding 1.5x1.5x to both sides.\newline−1.5x−2.7+1.5x=20.1+4.5x+1.5x-1.5x - 2.7 + 1.5x = 20.1 + 4.5x + 1.5x\newlineThis simplifies to:\newline−2.7=20.1+6x-2.7 = 20.1 + 6x
  2. Move constant term: Next, we'll move the constant term on the left side to the right side by adding 2.72.7 to both sides.\newline−2.7+2.7=20.1+6x+2.7-2.7 + 2.7 = 20.1 + 6x + 2.7\newlineThis simplifies to:\newline0=22.8+6x0 = 22.8 + 6x
  3. Isolate xx: Now, we need to isolate xx by dividing both sides by 66.\newline06=22.8+6x6\frac{0}{6} = \frac{22.8 + 6x}{6}\newlineThis simplifies to:\newline0=3.8+x0 = 3.8 + x

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