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What is the solution to 2/3(9x-6)=4(x+2)+ 2 round to the nearest hundredth

1 Answer

3 votes

Answer:

7

Explanation:

First expand 2/3 (9x-6) = 4 (x+2)+ 2 By doing 2/3 (9x - 6)/3

Which gives you 2/3 (9x - 6)

Then you factor it 2/3 (9x - 6) 6 (3x - 2) get 6 (3x - 2) / 3

then you divide 6/3 with 2

Getting 2 (3x - 2)

The use the distributive law

2 x 3x - 2 x 2

simplify the equation

6x - 4

expand 4 (x +2) + 2: 4x + 10

which then equals 6x-4=4x+10

add 4 to both sides

6x-4+4=4x+10+4

simplify

6x=4x+14

subtract 4x from both sides

simplify again

2x=14

divide both sides by 2

2x/2 = 14/2

simplify one last time and get the answer

x=7

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