5x+6 (x-2) - 8 (x-3)

simplify the equation

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3 (x + 4)

Step-by-step explanation:

Simplify the following:

5 x + 6 (x - 2) - 8 (x - 3)

6 (x - 2) = 6 x - 12:

5 x + 6 x - 12 - 8 (x - 3)

-8 (x - 3) = 24 - 8 x:

6 x + 5 x + 24 - 8 x - 12

Grouping like terms, 6 x + 5 x - 8 x - 12 + 24 = (5 x + 6 x - 8 x) + (-12 + 24):

(5 x + 6 x - 8 x) + (-12 + 24)

5 x + 6 x - 8 x = 3 x:

3 x + (-12 + 24)

24 - 12 = 12:

3 x + 12

Factor 3 out of 3 x + 12:

Answer: 3 (x + 4)

2x + 12