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Solve the following equation for xx. Express your answer in the simplest form.minus, 5, left bracket, 4, x, plus, 8, right bracket, equals, minus, x, plus, 3−5(4x+8)=−x+3

Question

Solve the following equation for xx. Express your answer in the simplest form.minus, 5, left bracket, 4, x, plus, 8, right bracket, equals, minus, x, plus, 3−5(4x+8)=−x+3

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Solution

Sure, let's solve the equation step by step.

  1. Distribute the -5 into the parentheses: -5 * 4x + -5 * 8 = -20x - 40 So, the equation becomes: -20x - 40 = -x + 3

  2. Add 20x to both sides to get all the x terms on one side: -20x + 20x - 40 = -x + 20x + 3 This simplifies to: -40 = 19x + 3

  3. Subtract 3 from both sides to isolate the x term: -40 - 3 = 19x + 3 - 3 This simplifies to: -43 = 19x

  4. Finally, divide both sides by 19 to solve for x: -43/19 = 19x/19 This simplifies to: x = -43/19

So, the solution to the equation is x = -43/19.

This problem has been solved

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