How do you solve #9( x - 2) - 3x = 3#?

2 Answers
Aug 7, 2018

#color(blue)(x = 7/2 = 3 1/2 = 3.5#

Explanation:

#9 (x - 2) - 3x = 3#

#9x - 18 - 3x = 3#, Removing bracket.

#9x - 3x = 3 + 18#, regrouping like terms.

#6x = 21#

#color(blue)(x = 21/6 = 7/2 = 3 1/2 = 3.5#

Aug 7, 2018

#x=7/2#

Explanation:

#"distribute bracket on left side of equation"#

#9x-18-3x=3#

#6x-18=3#

#"add 18 to both sides"#

#6x=3+18=21#

#"divide both sides by 6"#

#x=21/6=7/2#

#color(blue)"As a check"#

Substitute this value into the left side of the equation and if equal to the right side then it is the solution.

#9(7/2-2)-(3xx7/2)#

#=(9xx3/2)-21/2=27/2-21/2=6/2=3#

#x=7/2" is the solution"#