How do you simplify #½(8x – 6) + (1/3)(9x + 3)#?

1 Answer
Jul 14, 2018

Answer:

#7x - 2#

Explanation:

#1/2(8x-6) + 1/3(9x+3)#

To simplify this, use the distributive property:
cdn.virtualnerd.com

Following this image, we know that:
#color(blue)(1/2(8x-6) = (1/2 * 8x) + (1/2 * -6) = 4x - 3)#
and
#color(blue)(1/3(9x+3) = (1/3 * 9x) + (1/3 * 3) = 3x + 1)#

Combine the two expressions:
#4x - 3 + 3x + 1#

Color-code like terms:
#color(red)(4x) quadcolor(blue)(-quad3) quadcolor(red)(+quad3x) quadcolor(blue)(+quad1)#

Therefore, the expression is:
#7x - 2#