Solve: 6x + 3(2x - 1) = - 27?

Question

Please show me step by step how to solve this problem. Thanks!

Answer 1

Easy:

6x + 3(2x-1) = -27

do the multiplication first: 3 * (2x - 1) = 3 * 2x - 3*1 = 6x - 3

6x + (6x - 3) = -27

Now simplify: 6x = (6x - 3) = 12x - 3

12x - 3 = -27

Add three to both sides:

12x - 3 + 3 = -27 + 3

12x = -24

divide both side by 12:

x = -2

there's your answer!

Answer 2

Solve for the "x" variable.

6x + 3(2x - 1) = - 27

First: eliminate parenthesis by using the Foil Method.

6x + 3(2x) + 3(- 1) = - 27

6x + 6x + (-3) = - 27

6x + 6x - 3 = - 27

12x - 3 = - 27

Sec: add 3 with both sides (when you move a term to the opposite side, always use the opposite sign).

12x - 3 + 3 = - 27 + 3

12x = - 27 + 3

12x = - 24

Third: solve for "x" - divide 12 with both sides.

12x/12 = - 24/12

x = -24/12

x = -2

Answer 3

~ 6x + 3(2x - 1) = - 27
~ 6x + 6x - 3 = - 27 (Expanding the brackets by multiplying 3 * 2x and 3 * -1
~ 12x - 3 = - 27 (Adding up the x s i.e. 6x + 6x = 12x)
~ 12x = - 27 + 3 (Add 3 to both sides of the equation... +3 and -3 cancel out on the left hand side)
~ 12x = - 24 (- 27 + 3 gives - 24)
~ x = -24 / 12 (divide both sides of the equation by 12... 12x divided by 12 leaves x on the left hand side)
~ x = -2 (finally you end up with this when you divide -24 by +12)
~ Job done. :-)

Answer 4

=> 6x + 6x - 3 = -27(multiply 3 with 2x-1 & expand)
=> 12x - 3 = -27
=> 12x = -24
=> x = -2

Answer 5

6x + 3(2x - 1) = -27

Distribute the 3:

6x +6x - 3 = -27
12x - 3 = -27 (combine the "x" terms)
12x = -24 (add 3 to both sides)
x = -2 (divide both sides by 12)

Answer 6

multiply the 3 through the parentheses.
6x + 6x - 3 = -27
add the two 6x's together
12x - 3 = -27
add the 3 to the other side of the equal sign
12x = -24
divide both sides of the equal sign by 12
x = -2

Answer 7

6x + 3(2x - 1 ) = -27

first 3(2x - 1 ) ------> 3(2x) = 6x and 3(1)=3 so = ( 6x - 3 )

then 6x + 6x - 3 = -27 -----> 12x - 3 = -27

then 12x = 3 - 27

then x= (3 - 27 ) / 12

so x= -24 / 12 ----> so x= - 2

that's it!!

Answer 8

The answer is x = - 2. Here'show to find this.

Multiplying out the parenthesis,

12 x - 3 = - 27. Therefore 12 x = - 24, so

x = - 2.

Live long and prosper.

Answer 9

first you do operations in parenthesses 3(2x-1).
By multiplying 3 to 2x-1, you get 6x-3 then you add that to 6x. So you get 12x-3=-27
you then add 3 to both sides so you get 12x=-24
divide both sides by 12 and your answer is x=-2

hope that helps

Answer 10

6x + 3(2x - 1) = - 27
6x + 6x - 3 = -27
12x = -27 +3
12x = -24
x = -24: 12
x = -2
Solution: {x belongs to R| x = -2}
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