How do you solve #5( x - 2) + x = 6( x - 4)#?

2 Answers
Nov 10, 2016

No real solutions

Explanation:

distribute the five on the left side and combine like terms and distribute the six on the right side. This yields 6x-10=6x-24 which simplifies to -10=-24 which is not a true statement and therefore there are no real solutions.

Nov 10, 2016

This equation has No Solution.

Explanation:

First, you must simplify the two sides of the equation by applying the Distributive Property and combining like terms.

#5(x - 2) + x = 6(x - 4)#
#5x - 10 + x = 6x - 24#
#6x - 10 = 6x - 24#

Now that both sides of the equation are simplified, use inverse operations to solve the equation.

#6x - 6x - 10 = 6x - 6x - 24#
#-10 = -24#
#-10 + 10 = -24 + 10#
#0 != -14#

Because we obtained an untrue statement when we used inverse operations to try to solve the equation for #x#. The equation has no solution. That means there is no value of #x# which will make the equation true.