How do you solve 9( x - 2) - 3x = 39(x−2)−3x=3?

2 Answers
Kalyanam S.
Aug 7, 2018

color(blue)(x = 7/2 = 3 1/2 = 3.5x=72=312=3.5

Explanation:

9 (x - 2) - 3x = 39(x−2)−3x=3

9x - 18 - 3x = 39x−18−3x=3, Removing bracket.

9x - 3x = 3 + 189x−3x=3+18, regrouping like terms.

6x = 216x=21

color(blue)(x = 21/6 = 7/2 = 3 1/2 = 3.5x=216=72=312=3.5

Jim G.
Aug 7, 2018

x=7/2x=72

Explanation:

"distribute bracket on left side of equation"distribute bracket on left side of equation

9x-18-3x=39x−18−3x=3

6x-18=36x−18=3

"add 18 to both sides"add 18 to both sides

6x=3+18=216x=3+18=21

"divide both sides by 6"divide both sides by 6

x=21/6=7/2x=216=72

color(blue)"As a check"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)9(72−2)−(3×72)

=(9xx3/2)-21/2=27/2-21/2=6/2=3=(9×32)−212=272−212=62=3

x=7/2" is the solution"x=72 is the solution

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