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3 votes
What is the solution to the following equation?

4(3x - 6) + 15 = 27
O2
03
04
05​

User Mark Rullo
by
8.5k points

2 Answers

5 votes

Answer:

x = 3

Explanation:

Pull out like factors : 3x - 6 = 3 • (x - 2)

step 2 : (12 • (x - 2) + 15) - 27 = 0

Pull out like factors : 12x - 36 = 12 • (x - 3)

step 4 : 12 • (x - 3) = 0

Solve : x-3 = 0

x = 3

User Tzot
by
7.7k points
1 vote

Answer:
x=3

Simplify both sides of the equation


(4)(3x)+(4)(-6)+15=27(Distribute)\\12x+-24+15=27


(12x)+(-24+15)=27(Combine Like Terms)


12x+-9=27

Add 9 to both sides


12x-9+9=27+9\\12x=36

Divide both sides by 12


12x/12=36/12\\x=3

User Cullen Walsh
by
8.3k points