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zhenek [66]
3 years ago
12

Solve the following equation, answer as a reduced, mixed number. Then place the correct number in the box provided. 4(2x -3) + 8

(x - 4) = 2(2x + 6
Mathematics
1 answer:
aalyn [17]3 years ago
7 0

Answer:

4 2/3

Step-by-step explanation:

4(2x -3) + 8(x - 4) = 2(2x + 6)

Distribute

8x -12 + 8x -32 = 4x +12

Combine like terms

16x - 44 = 4x+12

Subtract 4x from each side

16x-4x-44 =4x-4x+12

12x-44 = 12

Add 44 to each side

12x-44+44 = 12+44

12x = 56

Divide each side by 12

12x/12 = 56/12

x = 14 / 3

Changing to a mixed number

x = 4 2/3

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blagie [28]
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We can apply this rule here:

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then, retain the base and replace the exponent with the product nm:

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