How do you solve #4(5-x)=8# using the distributive property?

1 Answer
Jun 13, 2017

Answer:

See a solution process below:

Explanation:

First, using the distributive property, expand the term in parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

#color(red)(4)(5 - x) = 8#

#(color(red)(4) * 5) - (color(red)(4) * x) = 8#

#20 - 4x = 8#

Next, subtract #color(red)(20)# from each side of the equation to isolate the #x# term while keeping the equation balanced:

#-color(red)(20) + 20 - 4x = -color(red)(20) + 8#

#0 - 4x = -12#

#-4x = -12#

Now, divide each side of the equation by #color(red)(-4)# to solve for #x# while keeping the equation balanced:

#(-4x)/color(red)(-4) = (-12)/color(red)(-4)#

#(color(red)(cancel(color(black)(-4)))x)/cancel(color(red)(-4)) = 3#

#x = 3#