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Solve the following equation for x. Express your answer in the simplest form. 5x+(1)/(2)(6x-10)=-(-8x+4)-1

Solve the following equation for x x . Express your answer in the simplest form.\newline5x+12(6x−10)=−(−8x+4)−1 5 x+\frac{1}{2}(6 x-10)=-(-8 x+4)-1 \newline

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Q. Solve the following equation for x x . Express your answer in the simplest form.\newline5x+12(6x−10)=−(−8x+4)−1 5 x+\frac{1}{2}(6 x-10)=-(-8 x+4)-1 \newline
  1. Combine like terms: Combine like terms on the right side of the equation.\newline−(−8x+4)−1=8x−4−1-(-8x + 4) - 1 = 8x - 4 - 1\newline8x−58x - 5
  2. Multiply by 22: Multiply both sides of the equation by 22 to eliminate the fraction.\newline2[5x+12(6x−10)]=2(8x−5)2[5x + \frac{1}{2}(6x - 10)] = 2(8x - 5)\newline10x+(6x−10)=16x−1010x + (6x - 10) = 16x - 10
  3. Combine like terms: Combine like terms on the left side of the equation.\newline10x+6x−10=16x−1010x + 6x - 10 = 16x - 10\newline16x−10=16x−1016x - 10 = 16x - 10
  4. Subtract 16x16x: Subtract 16x16x from both sides of the equation.\newline16x−10−16x=16x−10−16x16x - 10 - 16x = 16x - 10 - 16x\newline−10=−10-10 = -10

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