How do you solve #6(x+4)=3x-2#?

1 Answer
Jul 27, 2018

Answer:

#x = -8 2/3#

Explanation:

#6(x+4) = 3x - 2#

Use the distributive property to simplify the left side:
#6x + 24 = 3x - 2#

Subtract #color(blue)(3x)# from both sides:
#6x quadcolor(blue)(-quad3x) + 24 = 3x quadcolor(blue)(-quad3x) - 2 #

#3x + 24 = -2#

Subtract #color(blue)24# from both sides:
#3x + 24 quadcolor(blue)(-quad24) = -2 quadcolor(blue)(-24)#

#3x = -26#

#x = -8 2/3#

Hope this helps!