SIMPLIFY THE EXPRESSION.

2(3x+4)-3(2x-2)+8(x-5)

a. 20x-26
b. 8x-38
c. 8x-26
d. 20x+54

1 answer

To simplify the expression, start by distributing the coefficients to each term within the parentheses.

First, distribute 2 to each term in the first set of parentheses: 2(3x + 4) = 6x + 8.
Next, distribute -3 to each term in the second set of parentheses: -3(2x - 2) = -6x + 6.
Finally, distribute 8 to each term in the third set of parentheses: 8(x - 5) = 8x - 40.

Putting it all together, the simplified expression becomes:
6x + 8 - 6x + 6 + 8x - 40.

Next, combine like terms:
(6x - 6x + 8x) + (8 + 6 - 40) = 8x - 26.

Therefore, the simplified expression is 8x - 26.

So the correct answer is c. 8x - 26.
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