Question

17(2 - x) -5(x+12)=8

1-7X​

Answer 1

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

17(2−x)−5(x+12)=(8)(1)−7x

Step 1: Simplify both sides of the equation.

17(2−x)−5(x+12)=(8)(1)−7x

(17)(2)+(17)(−x)+(−5)(x)+(−5)(12)=(8)(1)+−7x(Distribute)

34+−17x+−5x+−60=8+−7x

(−17x+−5x)+(34+−60)=−7x+8(Combine Like Terms)

−22x+−26=−7x+8

−22x−26=−7x+8

Step 2: Add 7x to both sides.

−22x−26+7x=−7x+8+7x

−15x−26=8

Step 3: Add 26 to both sides.

−15x−26+26=8+26

−15x=34

Step 4: Divide both sides by -15.

$\frac{-15x}{15}=\frac{34}{-15}$

$\downarrow\huge{AnsweR}$

$\huge\blue{x=\frac{-34}{15}}$

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