How do you solve #6x = 4x - ( - 18)#?

3 Answers
Jun 9, 2018

#x=9#

Explanation:

Simplify first as follows:

#6x=4x-(-18)#

#6x=4x+18#-----> opening the bracket

#6x-4x=4x-4x+18# -----> subtracting #4x# both sides

#2x=18#

#x=18/2#

#x=9#

Checking the answer:

#6(9) = 4(9) - (-18)#

#54 = 36+18# ----> Correct!

Jun 9, 2018

#x=9#

Explanation:

#"note that "-(-18)=+18#

#6x=4x+18#

#"subtract "4x" from both sides"#

#2x=18#

#"divide both sides by 2"#

#x=18/2=9#

#color(blue)"As a check"#

Substitute this value into the equation and if both sides are equal then it is the solution.

#"left side "=6xx9=54#

#"right side "=(4xx9)+18=36+18=54#

#x=9" is the solution"#

Jun 9, 2018

#x = 9#

Explanation:

#6x color(red)(=) 4x - (-18)# | you start with this

#6x color(red)(=) 4x - (-18)# | you put the '4x' on the other side
#6x-4x color(red)(=) - ( -18)#
#2x color(red)(=) - ( -18)#

#2x color(red)(=) - ( -18)# | -1 times -8
#2x color(red)(=) -1 (-18)#
#2x color(red)(=) 18#

#2x color(red)(=) 18# | put the 2 to the other side
#x color(red)(=) 18/2#
#x color(red)(=) 9#