SOLUTION: What is 7 (2x-4)-(10-3x)

Question 1017841: What is 7 (2x-4)-(10-3x)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
7 * (2x - 4) - (10 - 3x)

7 * (2x - 4) is equal to 14x - 28

- (10 - 3x) is equal to -10 + 3x

7 * (2x - 4) - (10 - 3x) is equal to 14x - 28 - 10 + 3x.

combine like terms to get 17x - 38.

that's your solution.

confirm by taking any value of x at random and evaluating the original expression and the final expression.

i picked x = 7.

the original expression of 7 * (2x - 4) - (10 - 3x) becomes 7 * (2*7-4) = (10-21) which becomes 7*10 - (-11) which becomes 70 + 11 which becomes 81.

the final expression of 17x - 38 becomes 17*7 - 38 which becomes 119 - 38 which becomes 81.

they yield the same answer so the simplification can be assumed to be good.

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