How do you solve #4(x + 1) = 4x + 10#?

2 Answers
Mar 3, 2018

No solution

Explanation:

First, use the distributive property on the parentheses
#4(x+1)=4x+10#
#4x+4=4x+10#

Since the x values on both sides of the equation has a different number being added to them, we can conclude that this equation has no solution

Mar 3, 2018

There is no solution.

Explanation:

#4(x+1)=4x+10" "# 1.) Apply distributive property: #4(x+1)=4x+4#

#4x+4=4x+10" "# 2.) Subtract 4 from both sides
#" "-4" "-4#
#4x=4x+6#

#4x=4x+6" "# 3.) Subtract #4x# from both sides and get #0=6#
#-4x" " -4x#
#0=6#

After finish solving you will get the answer #0=6#. However, because 0 is not equal to 6, there is no solution.