1. Simplify Each of the following:
a. the sum of 6x + 2 and -8x + 5
b. the result of subtracting 5x - 17 from 8x + 12
c. the product of 7x and 4x - 9
2. Solve 2/3 (3x + 14) = 7x + 6, by the first multiplying both sides of the equation by 3, before applying the distributive property.
Thanks!
+128475 1.
a.
6x + 2 - 8x + 5 =
6x - 8x + 2 + 5 =
-2x + 7
b.
{8x + 12 ] - [5x - 17 ] =
8x - 5x + 12 - (-17) =
3x + 29
c. (7x) (x - 9) = 7x * 4x - 7x * 9 = 28x^2 - 63x
2.
2/3 (3x + 14) = 7x + 6 multiply through by 3
2(3x + 14) = 21x + 18 simplify
6x + 28 = 21x + 18 subtract 6x, 18 from both sides
10 = 15x divide both sides by 15 and reduce the fraction
10/15 = x = 2/3
