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Explain the steps necessary to solve the following multi-step equation. Include the final solution as part of your submission and explain how
you verified that the solution is correct.
–5(1 – 5x) + 5(–8x - 2) = -4x – 8x

Respuesta :

Answer: x = -5

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Step-by-step explanation:

Let's solve your equation step-by-step.

−5(1−5x)+5(−8x−2)=−4x−8x                                                                                                                          

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Step 1: Simplify both sides of the equation.

−5(1−5x)+5(−8x−2)=−4x−8x

(−5)(1)+(−5)(−5x)+(5)(−8x)+(5)(−2)=−4x+−8x(Distribute)

−5+25x+−40x+−10=−4x+−8x

(25x+−40x)+(−5+−10)=(−4x+−8x)(Combine Like Terms)

−15x+−15=−12x

−15x−15=−12x

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Step 2: Add 12x to both sides.

−15x−15+12x=−12x+12x

−3x−15=0

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Step 3: Add 15 to both sides.

−3x−15+15=0+15

−3x=15

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Step 4: Divide both sides by -3.

−3x /−3  = 15/ −3

x=−5

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Answer:

x=−5

Source: https://www.mathpapa.com/algebra-calculator.html

, Hope this helps

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