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(x − 106) = 12 + 7x

X=−10

Step-by-step explanation:

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Equation/Question:

1/2(x-106)=12+7x

Answer/Steps to (x= -10)

1. Simplify  1/2(x-106) to x-106/2.

x-106/2=12 + 7x

2. Multiply both sides by 2.

x−106=24+14x

3. Subtract x from both sides.

−106=24+14x−x

4. Simplify  24+14x-x to  24+13x.

-106=24+13x

5. Subtract 24 from both sides.

-106-24=13x

6. Simplify  -106-24 to −130.

-130=13x

7. Divide both sides by 13.

130/13=x

8. Simplify  130/13 to  1010.

-10=x

9. Switch sides.

x=-10

Checking:

1/2(x−106)=12+7x

1. Let x=-10x=−10.1

1/2​(−10−106)=12+7×−10

2. Simplify -10-106 to −116.

1/2​×−116=12+7×−10

3. Move the negative sign to the left.

-116/2=12+7×−10

4. Simplify 116/2 to 58

−58=12+7×−10

5. Simplify 7×−10  to −70.

−58=12−70

6. Simplify  12-70 to −58.

−58=−58

Done by NeighborhoodDealer

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step-by-step explanation: