Question 1017841
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.